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UNITEDSTATES
SECURITIESANDEXCHANGECOMMISSION
Washington,D.C.20549

FORM N-Q

QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED
MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number 811-21346

Name of Fund: BlackRock Muni New York Intermediate Duration Fund, Inc. (MNE)

Fund Address: 100 Bellevue Parkway, Wilmington, DE 19809

Name and address of agent for service: Anne F. Ackerley, Chief Executive Officer, BlackRock Muni
New York Intermediate Duration Fund, Inc., 55 East 52nd Street, New York, NY 10055.

Registrant’s telephone number, including area code: (800) 882-0052, Option 4

Date of fiscal year end: 07/31/2010

Date of reporting period: 04/30/2010

Item 1 – Schedule of Investments


Schedule of Investments April 30, 2010 (Unaudited)

BlackRock Muni New York Intermediate Duration Fund, Inc. (MNE)
(Percentages shown are based on Net Assets)

     Par   
Municipal Bonds    (000)  Value 
New York — 118.6%       
Corporate — 13.8%       
Jefferson County Industrial Development     
   Agency New York, Refunding RB, Solid     
   Waste, Series A, AMT, 5.20%,       
   12/01/20  $ 500  $ 490,415 
New York City Industrial Development       
   Agency, RB, AMT:       
       1990 American Airlines Inc. Project,     
       5.40%, 7/01/20    1,500  1,188,510 
       British Airways Plc Project, 7.63%,     
       12/01/32    1,000  988,760 
       Continental Airlines Inc. Project,       
       8.38%, 11/01/16    1,000  981,500 
New York City Industrial Development       
   Agency, Refunding RB, Terminal One     
   Group Association Project, AMT:       
       5.50%, 1/01/18    1,000  1,048,970 
       5.50%, 1/01/24    1,000  1,017,930 
New York State Energy Research &       
   Development Authority, RB, Lilco       
   Project, Series A (NPFGC), 5.15%,       
   3/01/16    1,000  1,003,550 
New York State Energy Research &       
   Development Authority, Refunding RB:     
       Brooklyn Union Gas/Keyspan,       
       Series A, AMT (FGIC), 4.70%,       
       2/01/24    500  495,470 
       Rochester Gas & Electric Corp.,       
       Series C (NPFGC), 5.00%, 8/01/32  1,000  1,036,400 
      8,251,505 
County/City/Special District/School District — 17.7%   
City of New York New York, GO:       
       Series J, 5.50%, 6/01/13 (a)    500  567,925 
       Series J (NPFGC), 5.25%, 5/15/18  1,500  1,661,745 
       Sub-Series F-1 (Syncora), 5.00%,       
       9/01/22    1,000  1,067,400 
       Sub-Series I-1, 5.50%, 4/01/21    1,500  1,720,050 
       Sub-Series I-1, 5.13%, 4/01/25    750  816,270 
New York City Industrial Development       
   Agency, RB, Queens Baseball       
   Stadium, PILOT (AMBAC), 5.00%,       
   1/01/31    1,500  1,378,440 
New York City Industrial Development       
   Agency, Refunding RB, New York       
   Stock Exchange Project, Series A,       
   4.25%, 5/01/24    500  496,870 
 Portfolio Abbreviations       

     Par   
Municipal Bonds    (000)  Value 
New York (continued)       
County/City/Special District/School District (concluded)   
New York City Transitional Finance       
   Authority, RB:       
       Fiscal 2007, Series S-1 (NPFGC),       
       5.00%, 7/15/24  $ 500  $ 534,565 
       Fiscal 2009, Series S-3, 5.00%,       
       1/15/23    575  620,804 
New York State Dormitory Authority,       
   Refunding RB, Consolidated Service     
   Contract, Series A, 4.00%, 7/01/25  750  729,975 
United Nations Development Corp. New     
   York, Refunding RB, Series A, 4.25%,     
   7/01/24    1,000  1,002,210 
      10,596,254 
Education — 15.0%       
Dutchess County Industrial       
   Development Agency New York,       
   Refunding RB, Bard College Civic       
   Facility, Series A-1, 5.00%, 8/01/22  750  759,960 
Nassau County Industrial Development     
   Agency, Refunding RB, New York       
   Institute of Technology Project,       
 Series A, 5.00%, 3/01/21    1,000  1,023,740 
New York City Industrial Development       
   Agency, RB, Lycee Francais de New       
   York Project, Series A (ACA), 5.50%,       
   6/01/15    500  530,995 
New York City Industrial Development       
   Agency, Refunding RB, Polytechnic       
   University Project (ACA), 4.70%,       
   11/01/22    1,000  919,850 
New York State Dormitory Authority, RB,     
   Mount Sinai School of Medicine:       
       5.50%, 7/01/25    1,000  1,046,830 
Series A (NPFGC), 5.15%, 7/01/24  250  257,453 
Schenectady County Industrial       
   Development Agency, Refunding RB,     
   Union College Project, 5.00%,       
   7/01/26    1,000  1,057,500 
St. Lawrence County Industrial       
   Development Agency New York, RB,     
   St. Lawrence University, Series A,       
   5.00%, 10/01/16    1,500  1,681,395 

To simplify the listings of portfolio holdings in the Schedule of Investments, the names and descriptions of many of the securities have been abbreviated
according to the following list:

ACA  American Capital Access Corp.  FGIC  Financial Guaranty Insurance Co. 
AGM  Assured Guaranty Municipal Corp.  GO  General Obligation Bonds 
AMBAC  American Municipal Bond Assurance Corp.  LRB  Lease Revenue Bonds 
AMT  Alternative Minimum Tax (subject to)  NPFGC  National Public Finance Guarantee Corp. 
CIFG  CDC IXIS Financial Guaranty  PILOT  Payment in Lieu of Taxes 
ERB  Education Revenue Bonds  RB  Revenue Bonds 
    SONYMA  State of New York Mortgage Agency 

BLACKROCK MUNI NEW YORK INTERMEDIATE DURATION FUND, INC.

APRIL 30, 2010

1


Schedule of Investments (continued)

BlackRock Muni New York Intermediate Duration Fund, Inc. (MNE)
(Percentages shown are based on Net Assets)

     Par   
Municipal Bonds    (000)  Value 
New York (continued)       
Education (concluded)       
Suffolk County Industrial Development     
   Agency, Refunding RB, New York       
   Institute of Technology Project, 5.25%,     
   3/01/21  $ 600  $ 612,192 
Trust for Cultural Resources, RB:       
       Carnegie Hall, Series A, 5.00%,       
       12/01/29    750  784,260 
       Museum of American Folk Art (ACA),     
       6.13%, 7/01/30    500  275,415 
      8,949,590 
Health — 21.3%       
Dutchess County Industrial       
   Development Agency New York, RB,     
   St. Francis Hospital, Series B, 7.25%,     
   3/01/19    355  359,061 
Erie County Industrial Development       
   Agency, RB, Episcopal Church Home,     
   Series A, 5.88%, 2/01/18    1,690  1,690,760 
Genesee County Industrial Development     
   Agency New York, Refunding RB,       
   United Memorial Medical Center       
   Project, 4.75%, 12/01/14    335  333,895 
New York City Industrial Development       
   Agency, RB, PSCH Inc. Project, 6.20%,     
   7/01/20    1,415  1,322,714 
New York State Dormitory Authority, RB:     
       NYU Hospital Center, Series B,       
       5.25%, 7/01/24    480  495,586 
       New York State Association for       
       Retarded Children, Inc., Series A,       
       5.30%, 7/01/23    450  475,389 
       North Shore-Long Island Jewish       
       Health System, Series A, 5.25%,       
       5/01/25    780  791,310 
New York State Dormitory Authority,       
   Refunding RB:       
       Lenox Hill Hospital Obligation       
       Group, 5.75%, 7/01/17    1,305  1,316,771 
       NYU Hospital Center, Series A,       
       5.00%, 7/01/16    1,130  1,201,337 
       North Shore-Long Island Jewish       
       Health System, Series E, 5.00%,       
       5/01/22    650  671,411 
Saratoga County Industrial Development     
   Agency New York, Refunding RB, The     
   Saratoga Hospital Project, Series A       
   (Radian):       
       4.38%, 12/01/13    365  382,126 
       4.50%, 12/01/14    380  395,306 
Suffolk County Industrial Development     
   Agency New York, Refunding RB,       
   Jeffersons Ferry Project, 4.63%,       
   11/01/16    800  796,672 

     Par   
Municipal Bonds    (000)  Value 
New York (continued)       
Health (concluded)       
Tompkins County Industrial       
   Development Agency New York,       
   Refunding RB, Continuing Care       
   Retirement Community, Kendal at       
   Ithaca Project, Series A-2:       
       5.75%, 7/01/18  $ 250  $ 250,165 
       6.00%, 7/01/24    1,000  1,000,310 
Westchester County Industrial       
   Development Agency New York, RB,     
   Special Needs Facilities Pooled       
   Program, Series D-1, 6.80%, 7/01/19  515  506,003 
Yonkers Industrial Development Agency     
   New York, RB, Sacred Heart       
   Associations Project, Series A, AMT       
   (SONYMA), 4.80%, 10/01/26    750  718,710 
      12,707,526 
Housing — 12.9%       
New York City Housing Development       
   Corp., RB, The Animal Medical Center,     
   Series A, 5.50%, 12/01/33    1,615  1,617,681 
New York Mortgage Agency, Refunding     
   RB, AMT:       
Homeowner Mortgage, Series 130,     
       4.75%, 10/01/30    2,500  2,426,725 
       Series 133, 4.95%, 10/01/21    1,000  1,014,340 
       Series 143, 4.85%, 10/01/27    500  483,980 
New York State Urban Development       
   Corp., RB, Subordinate Lien,       
   Corporate Purpose, Series A, 5.13%,     
   7/01/19    2,000  2,146,640 
      7,689,366 
State — 14.9%       
New York Municipal Bond Bank Agency,     
   RB, Series C, 5.25%, 12/01/18    2,000  2,158,980 
New York State Dormitory Authority,       
   ERB, Series F, 5.00%, 3/15/30    1,290  1,344,825 
New York State Dormitory Authority,       
   LRB, Municipal Health Facilities,       
 Sub-Series 2-4, 5.00%, 1/15/27    600  624,474 
New York State Dormitory Authority,       
   Refunding RB, Department of Health,     
   Series A (CIFG), 5.00%, 7/01/25    1,500  1,540,425 
New York State Thruway Authority,       
   Refunding RB, Series A-1, 5.00%,       
   4/01/22    1,000  1,109,600 
New York State Urban Development       
   Corp., RB, State Personal Income Tax,     
   State Facilities, Series A-1 (NPFGC),     
   5.00%, 3/15/24    485  515,477 
New York State Urban Development       
   Corp., Refunding RB, Service Contract,     
   Series B, 5.00%, 1/01/21    1,500  1,622,040 
      8,915,821 

2

BLACKROCK MUNI NEW YORK INTERMEDIATE DURATION FUND, INC.

APRIL 30, 2010


Schedule of Investments (continued)

BlackRock Muni New York Intermediate Duration Fund, Inc. (MNE)
(Percentages shown are based on Net Assets)

    Par   
Municipal Bonds    (000)  Value 
New York (concluded)       
Tobacco — 1.8%       
Tobacco Settlement Financing Corp.       
   New York, RB, Asset-Backed,       
 Series B-1C, 5.50%, 6/01/22  $ 1,000  $ 1,077,870 
Transportation — 12.6%       
Metropolitan Transportation Authority,     
   RB (NPFGC):       
       Series A, 5.00%, 11/15/24    2,000  2,123,540 
       Series B, 5.25%, 11/15/19    860  959,958 
Metropolitan Transportation Authority,     
   Refunding RB:       
       Series A (NPFGC), 5.00%,       
       11/15/25    3,000  3,079,080 
       Series B, 5.25%, 11/15/25    750  822,495 
Port Authority of New York & New Jersey,     
   Refunding RB, Consolidated, 152nd     
   Series, AMT, 5.00%, 11/01/23    500  513,265 
      7,498,338 
Utilities — 8.6%       
Long Island Power Authority, Refunding     
   RB:       
General, Series D (NPFGC), 5.00%,        
       9/01/25    4,000  4,149,120 
       Series A, 5.50%, 4/01/24    875  960,225 
      5,109,345 
Total Municipal Bonds in New York      70,795,615 
Guam — 4.3%       
County/City/Special District/School District — 0.6%   
Territory of Guam, RB, Section 30,       
   Series A, 5.38%, 12/01/24    325  329,234 
State — 0.3%       
Territory of Guam, GO, Series A, 6.00%,     
   11/15/19    185  191,514 
Transportation — 1.7%       
Guam International Airport Authority,       
   Refunding RB, General, Series C,       
 AMT (NPFGC), 5.25%, 10/01/22    1,000  1,000,020 
Utilities — 1.7%       
Guam Government Waterworks       
   Authority, Refunding RB, Water,       
   6.00%, 7/01/25    1,000  1,021,690 
Total Municipal Bonds in Guam      2,542,458 
Puerto Rico — 19.4%       
Education — 0.8%       
Puerto Rico Industrial Tourist       
   Educational Medical & Environmental     
   Control Facilities Financing Authority,     
   RB, University Plaza Project,       
 Series A (NPFGC), 5.00%, 7/01/33    500  487,900 

     Par   
Municipal Bonds    (000)  Value 
Puerto Rico (concluded)       
Housing — 3.3%       
Puerto Rico Housing Finance Authority,     
   Refunding RB, Subordinate, Capital       
   Fund Modernization, 5.13%,       
   12/01/27  $ 2,000  $ 1,996,460 
State — 6.2%       
Commonwealth of Puerto Rico, GO,       
   Public Improvement, Series A, 5.25%,     
   7/01/16 (a)    615  722,643 
Commonwealth of Puerto Rico, GO,       
   Refunding, Public Improvement:       
Series A (NPFGC), 5.50%, 7/01/21  1,000  1,064,800 
Series A-4 (AGM), 5.25%, 7/01/30  350  364,193 
Puerto Rico Municipal Finance Agency,     
   GO, Series A, 5.25%, 8/01/25    1,000  1,012,260 
Puerto Rico Public Buildings Authority,     
   Refunding RB, Government Facilities,     
   Series M-3 (NPFGC), 6.00%, 7/01/28  500  525,965 
      3,689,861 
Transportation — 9.1%       
Puerto Rico Highway & Transportation     
   Authority, RB:       
       Series Y (AGM), 6.25%, 7/01/21    3,000  3,346,800 
       Subordinate (FGIC), 5.75%,       
       7/01/21    2,000  2,057,160 
      5,403,960 
Total Municipal Bonds in Puerto Rico      11,578,181 
U.S. Virgin Islands — 3.3%       
Corporate — 1.6%       
United States Virgin Islands, Refunding     
   RB, Senior Secured, Hovensa Coker     
   Project, AMT, 6.50%, 7/01/21    500  506,520 
Virgin Islands Public Finance Authority,     
   RB, Senior Secured, Hovensa       
   Refinery, AMT, 4.70%, 7/01/22    500  454,010 
      960,530 
State — 1.7%       
Virgin Islands Public Finance Authority,     
   RB, Senior Lien, Matching Fund Loan     
   Note, Series A, 5.25%, 10/01/24    1,000  1,014,510 
Total Municipal Bonds in the U.S. Virgin Islands  1,975,040 
Total Municipal Bonds – 145.6%      86,891,294 

BLACKROCK MUNI NEW YORK INTERMEDIATE DURATION FUND, INC.

APRIL 30, 2010

3


Schedule of Investments (concluded)

BlackRock Muni New York Intermediate Duration Fund, Inc. (MNE)

(Percentages shown are based on Net Assets)

Municipal Bonds Transferred to Tender  Par   
Option Bond Trusts (b)  (000)  Value 
New York — 1.4%     
County/City/Special District/School District — 1.4%   
City of New York New York, GO,     
Sub-Series B-1, 5.25%, 9/01/22  $ 750   $ 833,438 
Total Municipal Bonds Transferred to     
Tender Option Bond Trusts – 1.4%    833,438 
Total Long-Term Investments     
 (Cost – $85,735,143) – 147.0%                                        87,724,732
Short-Term Securities  Shares   
CMA New York Municipal Money Fund,     
0.00% (c)(d)  796,613  796,613 
Total Short-Term Securities     
(Cost – $796,613) – 1.4%    796,613 
Total Investments     
(Cost – $86,531,756*) – 148.4%    88,521,345 
Other Assets Less Liabilities – 1.9%    1,156,614 
Liability for Trust Certificates, Including Interest   
Expense and Fees Payable – (0.6)%    (375,144) 
Preferred Shares, at Redemption Value – (49.7)%  (29,633,767) 
Net Assets Applicable to Common Shares – 100.0% $  59,669,048 

* The cost and unrealized appreciation (depreciation) of investments as of

April 30, 2010, as computed for federal income tax purposes, were as

Aggregate follows: cost  $ 86,156,756 
Gross unrealized appreciation  $ 2,822,364 
Gross unrealized depreciation  (832,775) 
Net unrealized appreciation  $ 1,989,589 

(a) US government securities, held in escrow, are used to pay interest on this
security as well as to retire the bond in full at the date indicated, typically
at a premium to par.
(b) Securities represent bonds transferred to a tender option bond trust in
exchange for which the Fund acquired residual interest certificates.
These securities serve as collateral in a financing transaction.

(c) Investments in companies considered to be an affiliate of the Fund
during the period, for purposes of Section 2(a)(3) of the Investment
Company Act of 1940, were as follows:

  Shares Held    Shares Held   
  at July 31,    at April 30,   
Affiliate  2009  Net Activity  2010  Income 
CMA New York         
   Municipal Money         
   Fund  1,737,841  (941,228)  796,613  $119 

(d) Represents the current yield as of report date.

• Fair Value Measurements - Various inputs are used in determining the fair

value of investments, which are as follows:

• Level 1 — price quotations in active markets/exchanges for identical
assets and liabilities

• Level 2 — other observable inputs (including, but not limited to: quoted
prices for similar assets or liabilities in markets that are active, quoted
prices for identical or similar assets or liabilities in markets that are not
active, inputs other than quoted prices that are observable for the
assets or liabilities (such as interest rates, yield curves, volatilities,
prepayment speeds, loss severities, credit risks and default rates) or
other market-corroborated inputs)

• Level 3 — unobservable inputs based on the best information available
in the circumstances, to the extent observable inputs are not available
(including the Fund's own assumptions used in determining the fair
value of investments)

The inputs or methodologies used for valuing securities are not necessarily
an indication of the risk associated with investing in those securities. For
information about the Fund's policy regarding valuation of investments and
other significant accounting policies, please refer to the Fund’s most recent
financial statements as contained in its semi-annual report.

The following table summarizes the inputs used as of April 30, 2010 in
determining the fair valuation of the Fund's investments:

Investments in Securities

Valuation Inputs  Level 1      Level 2  Level 3  Total 
Assets:         
Long-Term         
   Investments1                           —   $ 87,724,732           —   $ 87,724,732 
Short-Term         
   Securities  $ 796,613               796,613 
Total  $ 796,613   $ 87,724,732           —   $ 88,521,345 

1 See above Schedule of Investments for values in each sector.

4

BLACKROCK MUNI NEW YORK INTERMEDIATE DURATION FUND, INC.

APRIL 30, 2010


Item 2 – Controls and Procedures

2(a) – The registrant's principal executive and principal financial officers or persons performing
similar functions have concluded that the registrant's disclosure controls and procedures (as
defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the
“1940 Act”)) are effective as of a date within 90 days of the filing of this report based on the
evaluation of these controls and procedures required by Rule 30a-3(b) under the 1940 Act
and Rule 13(a)-15(b) under the Securities Exchange Act of 1934, as amended.

2(b) – There were no changes in the registrant's internal control over financial reporting (as defined
in Rule 30a-3(d) under the 1940 Act) that occurred during the registrant's last fiscal quarter
that have materially affected, or are reasonably likely to materially affect, the registrant's
internal control over financial reporting.

Item 3 – Exhibits

Certifications – Attached hereto

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment
Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by
the undersigned, thereunto duly authorized.

BlackRock Muni New York Intermediate Duration Fund, Inc.

By: /s/ Anne F. Ackerley
Anne F. Ackerley
Chief Executive Officer of
BlackRock Muni New York Intermediate Duration Fund, Inc.

Date: June 28, 2010

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment
Company Act of 1940, this report has been signed below by the following persons on behalf
of the registrant and in the capacities and on the dates indicated.

By: /s/ Anne F. Ackerley
Anne F. Ackerley
Chief Executive Officer (principal executive officer) of
BlackRock Muni New York Intermediate Duration Fund, Inc.

Date: June 28, 2010

By: /s/ Neal J. Andrews
Neal J. Andrews
Chief Financial Officer (principal financial officer) of
BlackRock Muni New York Intermediate Duration Fund, Inc.

Date: June 28, 2010