SCHEDULE 14A INFORMATION

Proxy Statement Pursuant to Section 14(a) of the Securities Exchange Act of 1934

Filed by the Registrant                      [X]
Filed by a Party other than the Registrant   [ ]
Check the appropriate box:

[ ]      Preliminary Proxy Statement
[ ]      Confidential,  for Use of the  Commission  Only (as  permitted  by Rule
         14a-6(e)(2))
[X]      Definitive Proxy Statement
[ ]      Definitive Additional Materials
[ ]      Soliciting Material Pursuant to ss.240.14a-12

                          Capital Southwest Corporation
--------------------------------------------------------------------------------
                (Name of Registrant as Specified In Its Charter)
--------------------------------------------------------------------------------
     (Name of Person(s) Filing Proxy Statement if other than the Registrant)

Payment of Filing Fee (Check the appropriate box):

[X]      No fee required.
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         0-11.

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                  applies:

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         2)       Aggregate number of securities to which transaction applies:

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         3)       Per  unit  price  or other  underlying  value  of  transaction
                  computed  pursuant  to  Exchange  Act Rule 0-11 (set forth the
                  amount on which the filing fee is calculated  and state how it
                  was determined):

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[ ]      Fee paid previously with preliminary materials.

[ ]      Check box if any part of the fee is offset as provided by Exchange  Act
         Rule  0-11(a)(2)  and identify the filing for which the  offsetting fee
         was paid  previously.  Identify  the  previous  filing by  registration
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To the Shareholders of Capital Southwest Corporation:

         Our annual  meeting of  shareholders  will be held on July 19, 2004, at
10:00 a.m. in the North  Dallas Bank Tower  Meeting  Room (First  Floor),  12900
Preston Road, Dallas, Texas.

         A  notice  of  the  annual  meeting,  a  proxy  and a  proxy  statement
containing  information about matters to be acted upon are enclosed.  Holders of
our common  stock are  entitled  to vote on the basis of one vote for each share
held. If you attend the annual  meeting,  you retain the right to vote in person
even though you previously voted by the enclosed proxy.

         It is important that your shares be represented at the meeting  whether
or not you are personally in attendance.  Please review the proxy  statement and
sign,  date and return the enclosed proxy at your earliest  convenience.  I look
forward to meeting  with you and,  together  with our  directors  and  officers,
discussing our business. I hope you will be present.


                                Very truly yours,


                                /s/ William R. Thomas

                                William R. Thomas
                                President and Chairman of the Board







                    NOTICE OF ANNUAL MEETING OF SHAREHOLDERS
                            TO BE HELD July 19, 2004

To the Shareholders of Capital Southwest Corporation:

         NOTICE IS HEREBY GIVEN that our annual meeting of shareholders  will be
held on Monday,  July 19, 2004, at 10:00 a.m.,  Dallas time, in the Meeting Room
(First Floor) of the North Dallas Bank Tower, 12900 Preston Road, Dallas, Texas,
for the following purposes:

1.   To  elect  five  directors  to  serve  until  the next  annual  meeting  of
     shareholders  or until  their  respective  successors  shall be elected and
     qualified.

2.   To ratify the  appointment  by our audit  committee of Ernst & Young LLP as
     our independent auditors.

3.   To transact such other  business as may properly come before the meeting or
     any adjournment thereof.

Only record holders of our common stock at the close of business on June 1, 2004
will be entitled  to notice of, and to vote at, the meeting and any  adjournment
thereof.


         If you do not expect to attend in person,  please sign, date and return
the proxy in the  enclosed  envelope.  No postage is required for mailing in the
United States.



                                        By Order of the Board of Directors

                                        SUSAN K. HODGSON
                                        Secretary
                                        Dallas, Texas
June 4, 2004




                                 PROXY STATEMENT

                         ANNUAL MEETING OF SHAREHOLDERS
                            TO BE HELD July 19, 2004

         This proxy statement is furnished in connection  with the  solicitation
by the Board of Directors of Capital Southwest Corporation, a Texas corporation,
with principal executive offices at 12900 Preston Road, Suite 700, Dallas, Texas
75230,  of proxies to be voted at the annual meeting of  shareholders to be held
on July 19,  2004 or any  adjournment  thereof.  The date on  which  this  proxy
statement  and the  enclosed  form of proxy are first being sent or given to our
shareholders is on or about June 4, 2004.

                             PURPOSES OF THE MEETING

         The annual  meeting of  shareholders  is to be held for the purposes of
(1)  electing  five  persons  to serve as our  directors  until the next  annual
meeting of shareholders,  or until their respective  successors shall be elected
and qualified;  (2) ratifying the  appointment by the audit committee of Ernst &
Young LLP as our independent  auditors;  and (3) transacting such other business
as may properly come before the meeting or any adjournment thereof.

                              VOTING AT THE MEETING

         The record date for holders of our common stock  entitled to notice of,
and to vote at, the annual meeting of  shareholders  is the close of business on
June 1,  2004,  at which time we had  outstanding  and  entitled  to vote at the
meeting 3,857,051 shares of common stock.

         The  presence,  in person or by proxy,  of the holders of a majority of
the  shares of common  stock  outstanding  and  entitled  to vote at the  annual
meeting is necessary to constitute a quorum. Each shareholder is entitled to one
vote, in person or by proxy,  for each share of common stock held in its name at
the close of business  on the record  date.  Shareholders  who are  present,  in
person or by proxy,  but  abstain  from  voting on any matter will be counted as
present at the  meeting  for  purposes  of  constituting  a quorum,  but not for
purposes of determining the final vote on any matter. Similarly,  nominees (such
as  broker-dealers)  who are  present,  in person or by proxy,  but  abstain  or
refrain from voting on any item, will be counted as present at the meeting,  but
not voting on any such item.

         To be elected a director,  each nominee must receive the favorable vote
of the holders of a majority of the shares of common stock  entitled to vote and
represented at the annual meeting. In order to ratify the appointment of Ernst &
Young LLP as our  independent  auditors for the year ending March 31, 2005,  the
ratification  proposal  must  receive  the  favorable  vote of a majority of the
shares of common stock entitled to vote and represented at the annual meeting.



                                       1


         Each proxy delivered to us, unless the shareholder  otherwise specifies
therein, will be voted FOR the election as directors of the persons nominated as
directors and FOR the  ratification of the appointment by the Audit Committee of
our Board of Directors  of Ernst & Young LLP as  independent  auditors.  In each
case where the  shareholder has  appropriately  specified how the proxy is to be
voted,  it will be voted in accordance with the  specification.  As to any other
matter or business which may be properly brought before the meeting,  a vote may
be cast pursuant to the  accompanying  proxy in accordance  with the judgment of
the person or persons voting the same,  but neither  management nor our board of
directors knows of any such other matter or business.

         You may  vote  shares  held  directly  in your  name in  person  at the
meeting. If you want to vote shares that you hold in street name at the meeting,
you must  request a legal proxy from your  broker,  bank or other  nominee  that
holds your shares.

         You may revoke  your proxy and change  your vote at any time before the
final  vote at the  meeting.  You may do this by signing a new proxy card with a
later date,  voting on a later date by proxy,  or by  attending  the meeting and
voting in person. However, your attendance at the meeting will not automatically
revoke your proxy. You must specifically revoke your proxy.

                        PROPOSAL 1: ELECTION OF DIRECTORS

         Five directors are proposed to be elected at the meeting to serve until
the next annual meeting of  shareholders  or until their  respective  successors
shall be elected and qualified.  Each of the named persons  currently  serves as
our  director.  The address of each of the  following  director  nominees is c/o
Capital  Southwest  Corporation,  12900 Preston Road, Suite 700,  Dallas,  Texas
75230.



Nominees for Director

                                                                                        Other
                                         Term of Office         Principal           Directorships
                          Position(s)     and Length of        Occupation(s)           Held by
Name and Age                 Held          Time Served       During Past 5 Years       Nominee
------------              -----------    ---------------    --------------------    -------------
Not Interested Persons
----------------------
                                                                        
Graeme W. Henderson       Director       One year;            Self-employed as a
Age 70                                   director since       private investor
                                         1976                 and consultant





                                          2


                                                                                        Other
                                         Term of Office         Principal           Directorships
                          Position(s)     and Length of        Occupation(s)           Held by
Name and Age                 Held          Time Served       During Past 5 Years       Nominee
------------              -----------    ---------------    --------------------    -------------

Samuel B. Ligon           Director       One year;            Chairman of
Age 65                                   director since       Jokari/US, Inc.;
                                         2003                 Chairman and CEO
                                                              of Smith
                                                              Abrasives, Inc.

John H. Wilson            Director       One year;            President of U.S.     Encore Wire
Age 61                                   director since       Equity                Corporation and
                                         1988                 Corporation, a        Palm Harbor
                                                              venture capital       Homes, Inc.
                                                              investment firm
Interested Persons
------------------

Gary L. Martin            Vice           One year; Vice       President of The
Age 57                    President      President since      Whitmore
                          and Director   1984 and             Manufacturing
                                         director since       Company and
                                         1988                 Vice President of
                                                              the Company

William R. Thomas         President,     One year;            President and         Alamo Group
Age 75                    Director       President since      Chairman of the       Inc., Encore
                          and            1980, Chairman       Board                 Wire
                          Chairman of    since 1982 and                             Corporation, and
                          the Board      director since                             Palm Harbor
                                         1972                                       Homes, Inc.


         Our Nominating Committee has determined that Messrs. Thomas and Martin,
who are our  employees,  are  "interested  persons" as defined in the Investment
Company  Act of 1940 and are not  "independent"  as defined by the Nasdaq  Stock
Market Listing Standards.  The Committee has determined that Messrs.  Henderson,
Ligon and Wilson are "independent" as defined by the Nasdaq Stock Market Listing
Standards  and they are not  "interested  persons" as defined by the  Investment
Company Act of 1940.

                MEETINGS AND COMMITTEES OF THE BOARD OF DIRECTORS

         During our fiscal year ended  March 31,  2004,  our Board of  Directors
held six meetings.  The Board of Directors has established an Audit Committee, a
Compensation  Committee  and a  Nominating  Committee  to  assist  the  Board in
carrying out its duties.  During the year, our Audit Committee held six meetings
and our  Compensation  Committee held two meetings.  Our  Nominating  Committee,
which was formed April 19, 2004,  held one meeting.  No director  attended  less
than 75% of the  total  number  of board  and  committee  meetings  on which the
directors  served.  Three of our four  directors  who were  serving  at the time
attended our 2003 annual meeting of shareholders.



                                       3


Audit Committee

         The Audit Committee members are Messrs. Henderson (Chairman), Ligon and
Wilson. The Audit Committee assists the Board in fulfilling its responsibilities
for general oversight of: (1) our accounting and financial  reporting  processes
and the  integrity  of our  financial  statements;  (2) our  systems of internal
accounting  and financial  controls;  (3) the  independence,  qualification  and
performance of our  independent  auditors;  and (4) our  compliance  with ethics
policies and legal and regulatory  requirements relating to financial statements
and  reporting.   The  committee  has  the   responsibility  for  selecting  our
independent auditors and pre-approving audit and non-audit services. Among other
things,  the Audit Committee prepares a report for inclusion in the annual proxy
statement;  reviews the Audit Committee charter and the committee's performance;
approves the scope of the annual  audit;  reviews our  corporate  policies  with
respect to financial  reporting and valuation of our investments.  The committee
also oversees  investigations into complaints  concerning financial matters. The
Audit  Committee has the authority to obtain advice and assistance  from outside
legal,  accounting or other advisors as the Audit  Committee  deems necessary to
carry out its duties.

Compensation Committee

         The  Compensation  Committee  members  are Messrs.  Wilson  (Chairman),
Henderson  and Ligon.  The  Compensation  Committee (1)  discharges  the Board's
responsibilities  to establish the compensation of our executives;  (2) produces
an annual  report on executive  compensation  for  inclusion in our annual proxy
statement;  and (3) provides general  oversight for our compensation  structure,
including our equity  compensation plans and benefits  programs.  Other specific
duties and  responsibilities  of the committee  include  reviewing and approving
objectives relative to executive officers' compensation;  approving and amending
our incentive  compensation  and stock option  programs  (subject to shareholder
approval if required); and annually evaluating its performance and its charter.

Nominating Committee

         The  Nominating  Committee  members  are  Messrs.   Wilson  (Chairman),
Henderson and Ligon.  The  Nominating  Committee has the  responsibility  to (1)
determine  and  recommend  to the  Board the slate of  director  nominees  to be
proposed  to  our  shareholders;   (2)  identify  and  recommend  to  the  Board
individuals qualified to become Board members; and (3) insure that the Board and
its  committees are  appropriately  constituted.  The Nominating  Committee will
consider director nominations made by shareholders,  who should send nominations
to our corporate secretary,  Susan K. Hodgson.  Shareholder nominations proposed
for  consideration  by the Nominating  Committee must include the nominee's name
and qualifications for Board membership. See "Shareholder Proposals" on page 17.



                                       4


         The Nominating Committee seeks to identify,  and the Board of Directors
selects,  director  candidates  who  (1)  have  significant  experience  that is
relevant  and  beneficial  to the Board of Directors  and the  Company,  (2) are
willing and able to make sufficient time commitments to the Company's affairs in
order to perform  their duties as  directors,  including  regular  attendance of
Board and committee meetings, (3) have a record of character and integrity,  and
(4)  represent  the  interests of the  Company's  shareholders.  The  evaluation
process for nominees is the same regardless of the source of the recommendation.

Committee Member Independence

         All of the members of the Audit Committee,  the Compensation  Committee
and the Nominating  Committee are  "independent"  as defined by the Nasdaq Stock
Market  Listing  Standards  and  the  Sarbanes-Oxley  Act  of  2002.  Nominating
Committee  members are not  "interested  persons"  as defined by the  Investment
Company Act of 1940.

Communication with Directors

         Shareholders who wish to send  communications to independent members of
the Board should  address  such  communications  to John H. Wilson,  independent
director, at 1500 Three Lincoln Centre, 5430 LBJ Freeway, Dallas, TX 75240.

Compensation of Directors

         In addition to reimbursement of travel expenses for attendance at Board
meetings,  a director who is not our employee  receives an annual fee of $16,000
for  service as a  director  and $6,000  for  service as  chairman  of the Audit
Committee and the Compensation  Committee.  In addition,  non-employee directors
receive  $1,000  for  each  directors'  meeting  attended  (excluding  telephone
meetings) and $500 for each committee meeting attended,  subject to a maximum of
$6,000 per year in aggregate meeting fees.

Compensation Committee Interlocks and Insider Participation

         None of our executive  officers served as a member of the  compensation
committee of the board of directors or as a director of any other entity, one of
whose executive officers served as a member of our Compensation Committee.

Vote Required

         Nominees who receive the affirmative  vote of the holders of a majority
of the shares of common  stock  entitled to vote and  represented  at the annual
meeting shall be re-elected as our directors. Abstentions will have no effect on
the election of  directors.  If you hold your shares  through a broker,  bank or
other  nominee and you do not instruct them how to vote on this  proposal,  your
broker may have  authority  to vote your  shares.  You may give each nominee one
vote for each  share  you  hold.  The proxy  holders  intend to vote the  shares
represented  by  proxies  to elect the five  nominees  to the board set forth in
Proposal 1.




                                       5


Board Recommendation

         The Board  recommends  that you vote "For" each of the  nominees to the
Board set forth in this Proposal 1.

                  STOCK OWNERSHIP OF CERTAIN BENEFICIAL OWNERS

         The following table sets forth certain  information with respect to the
beneficial  ownership  of our common stock as of May 1, 2004 by (1) each person,
so far as is known to our management,  who is the beneficial owner (as that term
is  defined  in the  rules  and  regulations  of the SEC) of more than 5% of our
outstanding  common  stock,  (2) each  executive  officer  named in the  Summary
Compensation  Table,  (3) each nominee for  director,  and (4) all directors and
executive  officers as a group.  Unless otherwise  indicated below,  each of the
persons named in the table has sole voting and investment  power with respect to
the shares indicated to be beneficially owned.

      Name and Address of                            Shares Owned     Percent of
      Beneficial Owner                               Beneficially       Class
      ----------------                               ------------        ----

      William R. Thomas..........................   965,799 (1)(2)(3)   25.0%
      12900 Preston Rd., Suite 700
      Dallas, Texas 75230

      Artisan Partners Limited Partnership ......   378,969 (4)          9.8
      1000 North Water Street #1770
      Milwaukee, Wisconsin 53202

      Third Avenue Management LLC................   334,773 (5)          8.7
      622 Third Avenue, 32nd Floor
      New York, New York 10017

      First Manhattan Company ...................   227,487 (6)          5.9
      437 Madison Avenue
      New York, New York 10022

      Gary L. Martin ............................   220,449 (2)          5.7
      12900 Preston Rd., Suite 700
      Dallas, Texas 75230

      Patrick F. Hamner .........................   132,208 (2)(3)       3.4

      Graeme W. Henderson .......................     4,700 (7)          0.1

      William M. Ashbaugh .......................     3,000 (3)           -

      Samuel B. Ligon ...........................     1,000               -

      John H. Wilson ............................     1,000               -

      All directors and executive officers as a
      group (8 persons).......................... 1,123,090 (8)         29.0


                                       6


----------
(1)  Mr.  Thomas has sole voting and  investment  power with  respect to 615,000
     shares,  which include  75,948 shares owned by his two children and 206,525
     shares owned by Thomas Heritage  Partners,  Ltd., in which Mr. Thomas has a
     50.7% limited partnership interest. Mr. Thomas holds a majority interest in
     and is President and sole manager of Thomas Heritage Company, LLC, the sole
     general partner of Thomas Heritage Partners, Ltd.

(2)  Mr.  Thomas  is a  trustee  of  certain  trusts  pursuant  to ESOPs for our
     employees  and employees of our  wholly-owned  portfolio  companies  owning
     256,655 shares,  with the power as trustee to vote such shares.  Mr. Thomas
     also  participates  in the power to direct  the  trustees  in the voting of
     88,144 shares owned by a trust pursuant to a pension plan for our employees
     and  certain of our  wholly-owned  portfolio  companies.  Accordingly,  Mr.
     Thomas has shared voting and  investment  power with respect to the 344,799
     shares,  representing  8.9% of our outstanding  common stock,  owned by the
     aforementioned  trusts.  Under the rules and  regulations  of the SEC,  Mr.
     Thomas is deemed to be the beneficial  owner of such 344,799 shares,  which
     are included in the shares beneficially owned by Mr. Thomas.

     Mr. Martin serves as trustee, with Mr. Thomas, of one of the aforementioned
     trusts  owning 32,036  shares and  participates  in the power to direct the
     trustees in the voting of 88,144  shares owned by the other  aforementioned
     trust. Accordingly,  Mr. Martin has shared voting and investment power with
     respect to the 120,180 shares.  Under the rules and regulations of the SEC,
     Mr.  Martin is deemed to be the  beneficial  owner of such 120,180  shares,
     which are included in the shares  beneficially  owned by Mr. Martin. Of the
     shares owned by a trust pursuant to the  aforementioned  ESOPs,  4,121 were
     allocated to Mr. Martin, all of which were vested.

     Mr. Hamner,  with Messrs.  Thomas and Martin,  participates in the power to
     direct  the  trustees  in the voting of 88,144  shares  owned by one of the
     aforementioned  trusts.  Under the rules and  regulations  of the SEC,  Mr.
     Hamner is deemed to be the beneficial  owner of such 88,144  shares,  which
     are included in the shares beneficially owned by Mr. Hamner.

(3)  Includes 3,000,  9,000 and 6,000 shares subject to immediately  exercisable
     stock options held by Messrs. Ashbaugh, Hamner and Thomas, respectively.

(4)  As reported to us by Artisan Partners Limited Partnership, Artisan Partners
     or Artisan Investment  Corporation or Andrew A. Ziegler,  individually,  or
     Carlene Murphy Ziegler, individually, had sole voting and dispositive power
     with respect to none of such shares and shared voting and dispositive power
     with   respect  to  378,969   shares  by  reasons  of  advisory  and  other
     relationships  with the persons who own the shares.  Artisan Partners is an
     investment  adviser;  Artisan  Investment is the General Partner of Artisan
     Partners; and Mr. Ziegler and Ms. Ziegler are the principal stockholders of
     Artisan Investment.

(5)  As reported to us by Third Avenue Management LLC, Third Avenue or Martin J.
     Whitman, individually, had shared voting and dispositive power with respect
     to none of such shares,  sole voting  power with respect to 327,453  shares
     and sole  dispositive  power with  respect to 334,773  shares by reasons of
     advisory and other relationships with the persons who own the shares. Third
     Avenue  and  Martin  J.  Whitman   beneficially  own  310,529  and  24,244,
     respectively, of such shares.



                                       7


(6)  As reported to us by First  Manhattan Co., First  Manhattan had sole voting
     and dispositive power with respect to 100 shares,  shared voting power with
     respect to 223,212  shares and  shared  dispositive  power with  respect to
     227,387  shares by reasons of  advisory  and other  relationships  with the
     persons who own the shares.

(7)  Includes  1,500  shares held by a  retirement  trust for the benefit of Mr.
     Henderson.

(8)  Includes (a) the shares owned by the  partnership and trusts referred to in
     notes (1) and (2),  respectively,  to the above  table,  (b) 21,200  shares
     subject to immediately  exercisable stock options (including those referred
     to in note (3) to the above  table),  (c) 1,500 shares held in a retirement
     trust for the  benefit  of Mr.  Henderson  and (d) 75,948  shares  owned by
     immediate family members of Mr. Thomas.

Section 16(a) Beneficial Ownership Reporting Compliance

         Section  16(a) of the  Securities  Exchange  Act of 1934,  as  amended,
requires our officers and directors and persons who  beneficially  own more than
10% of our common stock to file reports of  securities  ownership and changes in
such ownership with the SEC. Officers, directors and greater than 10% beneficial
owners  also are  required  by rules  promulgated  by the SEC to furnish us with
copies of all Section  16(a) forms they file with the SEC.  Based  solely upon a
review of the copies of such forms  furnished to us, we believe that each of our
officers,  directors and greater than 10%  beneficial  owners  complied with all
Section  16(a)  filing  requirements  applicable  to them during the fiscal year
ended March 31, 2004.

                             EXECUTIVE COMPENSATION

Summary Compensation Table

         The  following  table  sets forth  summary  information  regarding  the
compensation  (excluding Mr. Thomas'  retirement  benefit  described on page 12)
earned by or paid to William R. Thomas, President and Chairman of the Board, and
the next three most highly  compensated  executive officers who received a total
annual  salary and bonus in excess of  $100,000  for the fiscal year ended March
31, 2004.



                                                                                Long-term
                                                                              Compensation
                                            Annual Compensation                   Awards
                                     -----------------------------------   ---------------------
     Name and              Fiscal                         Other Annual     Securities Underlying       All Other
Principal Position          Year     Salary      Bonus   Compensation(1)         Options (#)         Compensation(2)
------------------          ----     ------      -----   ---------------   ---------------------    ---------------
                                                                                  

William R. Thomas           2004    $250,000   $   --       $ 20,000               6,000               $   --
   President and            2003     250,000       --         10,000               6,000                   --
   Chairman of the Board    2002     250,000     10,417        8,500               6,000                   --




                                       8


                                                                                Long-term
                                                                              Compensation
                                            Annual Compensation                   Awards
                                     -----------------------------------   ---------------------
     Name and              Fiscal                         Other Annual     Securities Underlying       All Other
Principal Position          Year     Salary      Bonus   Compensation(1)         Options (#)         Compensation(2)
------------------          ----     ------      -----   ---------------   ---------------------    ---------------

Gary L. Martin              2004    $185,000   $ 42,135     $   --                  --                 $  5,600
   Vice President           2003     183,750     12,135         --                14,000                   --
                            2002     178,800     17,077         --                14,000                   --

Patrick F. Hamner           2004     185,000     47,708        6,792              20,000                 13,208
   Vice President           2003     183,750     27,708         --                34,000                 10,000
                            2002     172,500     37,500         --                34,000                  8,500

William M. Ashbaugh         2004     177,500     47,500        6,792              15,000                 13,208
   Vice President           2003     167,500     27,083         --                15,000                  9,729
                            2002      96,410     14,222         --                15,000                   --

 ----------
(1)  Represents  amounts  accrued  for  each  executive  officer  in  lieu  of a
     contribution to his account in an ESOP.

(2)  Represents  amounts  contributed  to the ESOP  accounts  of each  executive
     officer.

         The  aggregate  amount  of  perquisites  and  other  personal  benefits
provided to Messrs. Thomas, Martin, Hamner and Ashbaugh was less than 10% of the
total of annual salary and bonus of such officers.

         In accordance with our established  policy,  our officers and employees
are required to remit to us all compensation  received for serving as a director
of any of our portfolio companies.

Additional Compensation Information

         The following table sets forth additional compensation  information for
the  fiscal  year  ended  March  31,  2004  for each of the  three  highest-paid
executive  officers  whose  compensation  exceeded  $60,000  and for  all  other
directors (Graeme W. Henderson, Samuel B. Ligon and John H. Wilson), who are not
our employees.

                                         Pension or Retirement  Estimated Annual
                           Aggregate      Benefits Accrued        Corporation's
Name and Position        Compensation    as Part of Expenses        Retirement
-----------------        ------------   ---------------------   ----------------

William R. Thomas        $270,000 (1)           (3)                   (4)
   Director, President
   and Chairman





                                       9


                                        Pension or Retirement   Estimated Annual
                           Aggregate      Benefits Accrued        Corporation's
Name and Position        Compensation    as Part of Expenses        Retirement
-----------------        ------------   ---------------------   ----------------

Gary L. Martin           $232,735 (1)           (3)                   (4)
   Director and Vice
   President

Patrick F. Hamner         252,708 (1)           (3)                   (4)
   Vice President

Graeme W. Henderson        28,000 (2)          None                  None
   Director

Samuel B. Ligon            11,000 (2)          None                  None
   Director

John H. Wilson             26,500 (2)          None                  None
   Director

----------
(1)  See "Option Exercises and Fiscal Year End Values" for information regarding
     stock options  exercised during or held at the end of the fiscal year ended
     March 31, 2004. See  "Retirement  Plans" for  information on our Retirement
     Plan and  Retirement  Restoration  Plan. See "Stock  Ownership  Plan" for a
     description  of our ESOP  and  "Summary  Compensation  Table"  for  amounts
     contributed to each officer's ESOP account.

(2)  Directors  who are not our  employees are  compensated  as described  under
     "Compensation of Directors" and are not participants in our retirement plan
     or ESOP.

(3)  As  described  in  note 7 to our  Consolidated  Financial  Statements,  the
     Retirement  Plan was overfunded  and therefore  generated a benefit for the
     year ended March 31,  2004.  After  deducting  the expense of the  unfunded
     Retirement Restoration Plan, our net benefit attributable to both plans was
     $272,912  for the  year  ended  March  31,  2004.  Our net  benefit  is not
     allocated to individual plan participants.

(4)  Individual  retirement  benefits are based on formulas relating benefits to
     average final  compensation and years of credited service.  See "Retirement
     Plans" which includes both a table of estimated annual retirement  benefits
     and a  description  of the  retirement  benefits  currently  payable to Mr.
     Thomas.

Option Grants

         No common stock options were granted during the fiscal year ended March
31, 2004.

Option Exercises and Fiscal Year End Values

         The  following  table  discloses,  for the  named  executive  officers,
information  regarding stock options  exercised  during,  or held at the end of,
fiscal 2004.




                                       10




                                                            Number of Securities                      Value of Unexercised
                                                           Underlying Unexercised                     In-the-Money Options
                        Shares                               Options at 3/31/04                          at 3/31/04(2)
                     Acquired on        Value      -------------------------------------   -------------------------------------
Name                 Exercise (#)   Realized (1)    Exercisable (#)    Unexercisable (#)      Exercisable        Unexercisable
----                 ------------   ------------   -----------------   -----------------   -----------------   -----------------
                                                                                             
William R. Thomas         --          $   --            6,000                 --                $   --             $   --
Gary L. Martin          14,000         297,150           --                   --                    --                 --
Patrick F. Hamner       14,000         323,470          9,000               11,000                41,880             62,820
William M. Ashbaugh       --              --            3,000               12,000                29,310            117,240

_____________________
(1)  Value  realized  is  calculated  as the  fair  market  value on the date of
     exercise,  net of the option exercise price, but before any tax liabilities
     or transaction costs.

(2)  Value of  unexercised  options is calculated at the closing market price on
     March 31, 2004 ($75.47),  net of the option exercise price,  but before any
     tax liabilities or transaction costs.

Retirement Plans

         The  foregoing  Summary   Compensation   Table  does  not  include  any
contribution,  payment or accrual under a qualified non-contributory  retirement
plan (retirement plan maintained by us and certain of our wholly-owned portfolio
companies),  as such  amounts  cannot  readily  be  separately  or  individually
calculated.   Messrs.  Ashbaugh,  Hamner  and  Martin  now  participate  in  the
retirement  plan,  and Mr.  Thomas is  currently  receiving  retirement  benefit
payments.  An eligible  employee  or his  survivor  will be  entitled  under the
retirement  plan to  receive,  upon  retirement,  death or  disability,  monthly
payments based upon formulas  relating  benefits to salary and years of credited
service,  which is generally  determined by averaging the five consecutive years
of highest  compensation  prior to retirement.  Salaries and bonuses  (excluding
other annual compensation)  reported in the foregoing Summary Compensation Table
are  substantially  identical to  compensation  covered by the  retirement  plan
(covered compensation). Payment of benefits is funded by the company.

         The  following  table sets forth,  for  purposes of  illustration,  the
estimated  annual  retirement  benefit  payable under the  retirement  plan as a
straight  life annuity upon  retirement  to  participants  of specified  covered
compensation  and years of credited  service who are fully vested (five years of
service).  Messrs.  Ashbaugh,  Hamner  and  Martin  had 2,  22,  and  31  years,
respectively,  of  credited  service  under  the  plan  as of May 1,  2004.  All
calculations assume retirement in 2004 at age 65 (normal retirement age).

Total Covered                       Estimated Annual Benefits
Compensation                           Based on Service of
--------------     -------------------------------------------------------------
                   15 Years      20 Years     25 Years     30 Years     35 Years
                   --------      --------     --------     --------     --------
 $125,000......... $ 31,112      $ 41,483     $ 51,854     $ 62,225       72,595
  150,000.........   38,237        50,983       63,729       76,475       89,220
  175,000.........   45,362        60,483       75,604       90,725      105,845
  200,000.........   52,487        69,983       87,479      104,975      122,470




                                       11


Total Covered                       Estimated Annual Benefits
Compensation                           Based on Service of
--------------     -------------------------------------------------------------
                   15 Years      20 Years     25 Years     30 Years     35 Years
                   --------      --------     --------     --------     --------
 $225,000......... $ 59,612     $  79,483    $  99,354     $119,225     $139,095
  250,000.........   66,737        88,983      111,229      133,475      155,720
  300,000........    80,987       107,983      134,979      161,975      188,970
  350,000.........   95,237       126,983      158,729      190,475      222,220
  400,000.........  109,487       145,983      182,479      218,975      255,470

         Certain of the  amounts  in the above  table are  subject to  reduction
because  applicable  federal  regulations  limit the  amount of annual  benefits
payable to certain  higher-paid  participants  under a tax-qualified  retirement
plan,  such as the retirement  plan. The extent of such  reductions will vary in
individual  cases  according  to  circumstances  existing  at the  time  pension
payments commence.  Consequently,  we and certain of our wholly-owned  portfolio
companies have adopted an unfunded  benefit  equalization  plan (the  retirement
restoration  plan) to compensate our employees and chief  executive  officers of
certain  of our  wholly-owned  portfolio  companies  for the loss of  retirement
benefits  resulting from such  limitations.  This  retirement  restoration  plan
provides for the payment, upon retirement, of the difference between the maximum
annual  payment  permissible  under the  retirement  plan  pursuant  to  federal
limitations and the amount which would otherwise have been payable.

         Mr. Thomas is entitled to a substantially  increased annual  retirement
benefit as a result of his service  beyond the normal  retirement  age and to an
additional annual  retirement  benefit as a result of his credited service prior
to April 1972 under a retirement  benefit  formula of our retirement  plan which
was modified for credited service subsequent to April 1972.  Although Mr. Thomas
is a full-time employee, Section 401(a)(9) of the Internal Revenue Code required
that he begin receiving  monthly  retirement  benefit  payments on April 1, 2000
because of his age and ownership of more than 5% of our common stock. Retirement
benefits  payable (for life only) to Mr.  Thomas under the  retirement  plan and
retirement restoration plan total $440,342 per annum.

Stock Ownership Plan

         We maintain an Employee Stock Ownership Plan ("ESOP") for our employees
and one of our wholly-owned  portfolio  companies in which Messrs.  Ashbaugh and
Hamner participate. The Whitmore Manufacturing Company maintains an ESOP for its
employees,  in which Mr. Martin  participates.  Employees who have completed one
year of credited service, as defined in the plan, are eligible to participate in
the ESOP. Contributions to the ESOP are discretionary, within limits established
by the Internal Revenue Code. Funds  contributed to the trust  established under
the ESOP are  applied by the  trustees  to the  purchase,  in the open market at
prevailing  market  prices,  of our common stock.  A  participant's  interest in
contributions to the ESOP fully vests after five years of credited service,  and
such vested  interest is distributed  to a participant  at retirement,  death or
total  disability,  or  after  a  one  year  break  in  service  resulting  from
termination of employment for any other reason.  See note (2) to the table under
"Stock  Ownership  of Certain  Beneficial  Owners".



                                       12


                      REPORT OF THE COMPENSATION COMMITTEE

         The Compensation Committee (1) discharges the Board's  responsibilities
to  establish  the  compensation  of our  executives;  (2)  produces a report on
executive  compensation  for  inclusion in our annual proxy  statement;  and (3)
provides general oversight of our compensation  structure,  including our equity
compensation   plans  and  benefits   programs.   Other   specific   duties  and
responsibilities  of the committee  include  reviewing and approving  objectives
relative to executive  officers'  compensation  and  approving  and amending our
incentive  compensation  and  stock  option  programs  (subject  to  shareholder
approval if  required).  The  Committee,  which  consists  of three  independent
directors, met two times in the fiscal year ended March 31, 2004.

         The  goals of our  compensation  program  are to  attract,  retain  and
motivate  competent  executive  officers who have the  experience and ability to
contribute to the success of the company's investment management activities. The
individual  judgments made by the Compensation  Committee are subjective and are
based  largely on the  recommendations  of the chief  executive  officer and the
Compensation Committee's perception of each executive's contribution to both the
company's  past  performance  and  long-term  growth  potential.  The  principal
elements of compensation for executive  officers are base salary,  discretionary
bonus  payments,   stock  options  granted  under  the  stock  option  plan  and
contributions pursuant to the ESOP.

         Base salaries were  determined  by the  Compensation  Committee in July
2003 for each of the  executive  officers on an  individual  basis,  taking into
consideration  individual  contributions  to  performance,   length  of  tenure,
compensation  levels  for  comparable  positions  and  internal  equities  among
positions.  In addition to base salaries,  certain  executive  officers received
bonus  payments  in March  2004,  the  amounts of which were  determined  by the
Compensation Committee on a discretionary basis.

         In July 2003, the Compensation Committee established the base salary of
our chief  executive  officer,  William R.  Thomas,  at  $250,000  per annum,  a
continuation of the level  established in July 1993. At Mr. Thomas' request,  he
was not awarded a year-end bonus in March 2004 or in the four preceding years.

         No stock  options were  granted  during the fiscal year ended March 31,
2004.  On  that  date,  options  to  purchase  a total  of  54,500  shares  were
outstanding, representing a 1.4% fully-diluted equity interest.

         An  additional  equity  incentive is provided by the ESOP, to which the
Compensation  Committee  authorized  a  contribution  equivalent  to 10% of each
participating  employee's  covered  compensation for the fiscal year ended March
31, 2004 subject to limits imposed by the Internal Revenue Service  ("IRS").  To
conform  to IRS  limits,  a maximum of 6.604% of each  participating  employee's
covered  compensation was contributed to the ESOP and 3.396% was paid in cash to
each employee in lieu of an ESOP contribution.

                                        Compensation Committee
                                        John H. Wilson, Chairman
                                        Graeme W. Henderson
                                        Samuel B. Ligon




                                       13




                                PERFORMANCE GRAPH

         The following graph compares our cumulative  total  stockholder  return
during the last five years  (based on the market  price of our common  stock and
assuming  reinvestment  of all dividends  and tax credits on retained  long-term
capital  gains) with the Total  Return  Index for the Nasdaq  Stock Market (U.S.
Companies) and with the Total Return Index for Nasdaq Financial Stocks,  both of
which indices have been  prepared by the Center for Research in Security  Prices
at the University of Chicago.

                Comparison of Five Year Cumulative Total Returns


 [Graph omitted]


       Nasdaq Total Return (U.S.)   Nasdaq Financial Stocks     Capital Southwest Corporation
                                                                
1999         100.000                        100.000                      100.000
2000         185.806                         94.771                       76.973
2001          74.390                        104.923                       92.416
2002          74.968                        130.564                       98.680
2003          55.027                        121.161                       69.804
2004          81.207                        174.233                      107.588


























                                       14


                          REPORT OF THE AUDIT COMMITTEE

         The Audit  Committee  consists  of three  members of the  Corporation's
Board of  Directors.  Each  member is an  independent  director  as  required by
Sarbanes-Oxley  and Nasdaq.  In addition,  the Board of Directors has determined
that Graeme W. Henderson is an Audit  Committee  Financial  Expert as defined by
SEC rules. The duties and  responsibilities of the Audit Committee are set forth
in the  Amended  and  Restated  Audit  Committee  Charter,  which  the  Board of
Directors  adopted on May 27,  2003.  A copy of the Amended and  Restated  Audit
Committee Charter is available on our website at www.capitalsouthwest.com.

         The Audit  Committee  oversees the  Corporation's  financial  reporting
process  on  behalf  of the  Board  of  Directors.  Management  has the  primary
responsibility for the financial statements and the reporting process, including
the  Corporation's  system of internal  control.  In  fulfilling  its  oversight
responsibilities,   the  Audit  Committee  reviewed  the  audited   consolidated
financial  statements  in  the  Annual  Report  with  management,   including  a
discussion  of the  quality,  not  just  the  acceptability,  of the  accounting
principles;  the  reasonableness  of the valuation of restricted  securities and
other  significant  judgments;  and the clarity of  disclosures in the financial
statements.

         The  Audit  Committee   reviewed  with  Ernst  &  Young  LLP,  who  are
responsible  for  expressing  an  opinion  on the  conformity  of those  audited
financial  statements  with  generally  accepted  accounting  principles,  their
judgments as to the quality,  not just the  acceptability,  of the Corporation's
accounting  principles  and such other  matters as are  required to be discussed
with the Audit Committee under generally accepted auditing standards.  The Audit
Committee  discussed with Ernst &Young LLP the matters  required to be discussed
by Statement  on Auditing  Standards  No. 61, as amended,  Statement on Auditing
Standards  No. 99, and SEC Rules  discussed in Final  Release  Nos.  33-8183 and
33-8183a.  In  addition,  the Audit  Committee  discussed  with the  independent
auditors  the  auditors'  independence  from  management  and  the  Corporation,
including the matters in the written disclosures and letter we received from the
independent  auditors as required by the  Independence  Standards Board Standard
No. 1, and considered the compatibility of non-audit services with the auditors'
independence.

         The Audit Committee  discussed with Ernst & Young LLP the overall scope
and plans for their audit.  The Audit Committee also met with Ernst & Young LLP,
with and without  management  present,  to discuss  the results of their  audit,
their evaluation of the Corporation's  internal controls and the overall quality
of the Corporation's financial reporting.

         Based on the  reviews  and  discussions  referred  to above,  the Audit
Committee  recommended  to the Board of Directors  (and the board has  approved)
that the audited  consolidated  financial  statements  be included in the Annual
Report on Form 10-K for the fiscal year ended March 31, 2004 for filing with the
SEC.

                                    Audit Committee
                                    Graeme W. Henderson, Chairman
                                    Samuel B. Ligon
                                    John H. Wilson




                                       15


PROPOSAL 2: RATIFICATION OF APPOINTMENT OF INDEPENDENT AUDITORS

         On May 2, 2003,  KPMG LLP was dismissed as our  independent  accountant
and on April 24, 2003,  the Audit  Committee  unanimously  voted in favor of the
appointment of Ernst & Young LLP to serve as our independent  accountant for the
fiscal year ending March 31, 2004. The Audit Committee has appointed the firm of
Ernst & Young LLP as  independent  auditors for the fiscal year ending March 31,
2005.

         In connection with its audits of the two most recent fiscal years ended
March 31, 2003 and during the subsequent interim period ended May 9, 2003, there
were no  disagreements  with KPMG LLP on any matter of accounting  principles or
practices, financial statement disclosure or auditing scope or procedures, which
disagreements  if not resolved to their  satisfaction  would have caused them to
make  reference in connection  with their  opinion to the subject  matter of the
disagreement.  Also,  during the two most recent fiscal years and through May 9,
2003, we did not consult Ernst & Young LLP regarding any of the events described
in Item 304 (a) (2) (i) - (ii) of Regulation S-K. The reports of KPMG LLP on the
financial  statements  for the years ended March 31, 2003 and 2002  contained no
adverse opinion or disclaimer of opinion.

         We are asking the  shareholders  to ratify the  appointment  of Ernst &
Young LLP as our independent auditors for the fiscal year ending March 31, 2005.
Ernst & Young LLP was appointed by the Audit  Committee in  accordance  with its
charter.  In  order  to  ratify  the  appointment  of  Ernst & Young  LLP as our
independent  auditors  for the year ending March 31,  2005,  the  proposal  must
receive  the  favorable  vote of a majority  of the shares  entitled to vote and
represented  at  the  annual  meeting.   If  shareholders  fail  to  ratify  the
appointment, the Audit Committee may reconsider the appointment.

         A  representative  of Ernst & Young LLP for the fiscal year ended March
31, 2004,  will be present at the annual  meeting,  will have the opportunity to
make a statement,  and will be available to respond to appropriate questions you
may ask.

         The  board  recommends  that you vote  "For"  the  ratification  of the
appointment of Ernst & Young LLP as our independent auditors.

                              AUDIT AND OTHER FEES

         The  following  table sets forth fees for services  rendered by Ernst &
Young LLP for the  fiscal  year  ended  March  31,  2004 and by KPMG LLP for the
fiscal year ended March 31, 2003.

                                  2004       2003
                                --------   --------
Audit Fees(1)                   $ 62,000   $ 53,000
Audit-Related Fees(2)                -0-        -0-
Tax Fees(3)                        5,500      4,000
All Other Fees                       -0-        -0-
                                --------   --------
Total Fees                      $ 67,500   $ 57,000
                                ========   ========



                                       16


----------
(1)  Represents fees for professional  services  provided in connection with the
     audit of our  annual  financial  statements  and  review  of our  quarterly
     financial  statements,  advice on accounting  matters that arose during the
     audit and audit  services  provided in connection  with other  statutory or
     regulatory filings.

(2)  Represents  fees  for  assurance  services  related  to  the  audit  of our
     financial  statements  and for  services in  connection  with audits of our
     benefit plans.

(3)  Represents  fees for services  provided in connection  with tax compliance,
     tax advice and tax planning.

The Audit Committee has determined  that the provision of non-audit  services by
Ernst  &  Young  LLP  is  compatible  with  maintaining   Ernst  &  Young  LLP's
independence.  In accordance with its charter,  the Audit Committee  approves in
advance all audit and tax services to be provided by Ernst & Young LLP. In other
cases, the chairman of the Audit Committee has the delegated  authority from the
committee to pre-approve certain additional services, and such pre-approvals are
communicated  to the full committee at its next meeting.  During the fiscal year
2004, all services were  pre-approved  by the Audit Committee in accordance with
this policy.

                                  OTHER MATTERS

         As of the mailing date of this proxy statement,  the Board of Directors
knows of no other  matters to be  presented  at the  meeting.  Should any of the
matters requiring a vote of the shareholders  arise at the meeting,  the persons
named in the proxy will vote the proxies in accordance with their best judgment.

                  SHAREHOLDER PROPOSALS FOR 2005 ANNUAL MEETING

         Any shareholder who intends to present a proposal at the annual meeting
in the year 2005,  and who  wishes to have the  proposal  included  in our proxy
statement  for  that  meeting,  must  deliver  the  proposal  to  our  corporate
secretary,  Susan K. Hodgson,  at 12900 Preston Road, Suite 700,  Dallas,  Texas
75230, no later than February 4, 2005. All proposals must meet the  requirements
set forth in the rules and  regulations  of the SEC in order to be eligible  for
inclusion in the proxy statement for that meeting.

         Any  shareholder who intends to bring business to the annual meeting in
the year 2005,  but not  include  the  proposal  in our proxy  statement,  or to
nominate a person to the board of  directors,  must also give written  notice to
our  corporate  secretary,  Susan K.  Hodgson  at the  address  set forth in the
preceding paragraph, by February 4, 2005.





                                       17


                       EXPENSES OF SOLICITATION OF PROXIES

         In  addition  to the use of the  mails,  proxies  may be  solicited  by
personal interview and telephone by our directors,  officers and employees,  who
will not receive  additional  compensation  for such  services.  We will request
brokerage  houses,  nominees,  custodians and fiduciaries to forward  soliciting
materials  to the  beneficial  owners  of stock  held of record by them and will
reimburse such persons for forwarding materials.  The cost of soliciting proxies
will be borne by us.

                                  ANNUAL REPORT

         The Annual Report to Shareholders  covering the fiscal year ended March
31, 2004 accompanies this proxy statement, but is not deemed a part of the proxy
soliciting material.

         A copy of the fiscal 2004 Form 10-K  report  filed with the SEC will be
mailed to shareholders  without charge upon written request to Susan K. Hodgson,
Secretary, Capital Southwest Corporation, 12900 Preston Road, Suite 700, Dallas,
Texas 75230.

         A copy of the Form  10-K  will be  available  via the  Internet  at our
website  (www.capitalsouthwest.com) and the EDGAR version of such report will be
available at the SEC's website (www.sec.gov).

         Any complaint  regarding  accounting,  internal  accounting controls or
auditing  matters should be mailed to John H. Wilson,  independent  director and
Audit Committee member, at 1500 Three Lincoln Centre, 5430 LBJ Freeway,  Dallas,
TX 75240. Written complaints may be submitted anonymously.

































                                       18