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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 811-09401

Name of Fund: The BlackRock Strategic Municipal Trust (BSD)

Fund Address: 100 Bellevue Parkway, Wilmington, DE 19809

Name and address of agent for service: Anne F. Ackerley, Chief Executive Officer, The BlackRock
Strategic Municipal Trust, 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: 04/30/2010

Date of reporting period: 01/31/2010

Item 1 – Schedule of Investments

Schedule of Investments January 31, 2010 (Unaudited)

BlackRock Strategic Municipal Trust (BSD)
(Percentages shown are based on Net Assets)

     Par   
Municipal Bonds    (000)  Value 
Arizona — 4.6%       
Pima County IDA, Refunding IDRB,       
   Tucson Electric Power, 5.75%,       
   9/01/29  $ 350  $ 353,588 
Salt River Project Agricultural       
   Improvement & Power District, RB,       
   Series A, 5.00%, 1/01/38    625  643,094 
Salt Verde Financial Corp., RB, Senior,     
   5.00%, 12/01/32    1,455  1,278,523 
Salt Verde Financial Corp., RB, Senior,     
   5.00%, 12/01/37    1,320  1,123,426 
San Luis Facility Development Corp., RB,     
   Senior Lien, Regional Detention       
   Center Project, 6.25%, 5/01/15    210  195,552 
San Luis Facility Development Corp., RB,     
   Senior Lien, Regional Detention       
   Center Project, 7.00%, 5/01/20    210  194,489 
San Luis Facility Development Corp., RB,     
   Senior Lien, Regional Detention       
   Center Project, 7.25%, 5/01/27    420  384,035 
      4,172,707 
California — 17.9%       
Bay Area Toll Authority, Refunding RB,     
   San Francisco Bay Area, Series F-1,       
   5.63%, 4/01/44    720  763,603 
California County Tobacco Securitization     
   Agency, RB, CAB, Stanislaus,       
   Sub-Series C, 6.30%, 6/01/55 (a)    3,095  38,223 
California State Public Works Board, RB,     
   Various Capital Projects,       
   Sub-Series I-1, 6.38%, 11/01/34    375  381,214 
Los Angeles Department of Airports, RB,     
   Series A, 5.25%, 5/15/39    250  250,600 
Los Angeles Unified School District       
   California, GO, Series D, 5.00%,       
   7/01/26    1,585  1,655,168 
San Francisco City & County Public       
   Utilities Commission, RB, Series B,       
   5.00%, 11/01/39    2,965  3,024,448 
State of California, GO, Various Purpose,     
   6.50%, 4/01/33    650  694,336 

           Par   
Municipal Bonds         (000)  Value 
California (concluded)     
State of California, GO, Various Purpose     
   (CIFG), 5.00%, 3/01/33  $ 5,000  $ 4,523,750 
University of California, RB, Limited     
   Project, Series B, 4.75%, 5/15/38  1,835  1,720,955 
West Valley-Mission Community College     
   District, GO, Election of 2004,     
   Series A, (AGM), 4.75%, 8/01/30  3,350  3,350,000 
    16,402,297 
Colorado — 5.0%     
City of Colorado Springs Colorado, RB,     
   Subordinate Lien, Improvement,     
   Series C (AGM), 5.00%, 11/15/45  395  400,321 
Colorado Health Facilities Authority,     
   Refunding RB, Catholic Healthcare,     
   Series A, 5.50%, 7/01/34  680  716,767 
Northwest Parkway Public Highway     
   Authority Colorado, RB, CAB, Senior     
   Series B (AGM), 6.30%,     
   6/15/11 (a)(b)  10,000  3,084,500 
Park Creek Metropolitan District     
   Colorado, Refunding RB, Senior,     
   Limited Tax, Property Tax, 5.50%,     
   12/01/37  440  402,068 
    4,603,656 
District of Columbia — 0.7%     
Metropolitan Washington Airports     
   Authority, RB, First Senior Lien,     
   Series A, 5.00%, 10/01/39  160  161,701 
Metropolitan Washington Airports     
   Authority, RB, First Senior Lien,     
   Series A, 5.25%, 10/01/44  465  478,829 
    640,530 
Florida — 9.8%     
Arborwood Community Development     
   District, Special Assessment Bonds,     
   Master Infrastructure Projects,     
   Series B, 5.10%, 5/01/14  1,470  1,057,195 
County of Miami-Dade, Florida,     
   Refunding RB, Miami International     
   Airport, Series A-1, 5.38%, 10/01/41  370  366,356 

Portfolio Abbreviations

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:

AGC  Assured Guaranty Corp.  GO  General Obligation Bonds 
AGM  Assured Guaranty Municipal Corp.  IDA  Industrial Development Authority 
AMBAC  American Municipal Bond Assurance Corp.  IDRB  Industrial Development Revenue Bonds 
AMT  Alternative Minimum Tax (subject to)  ISD  Independent School District 
CAB  Capital Appreciation Bonds  NPFGC  National Public Finance Guaranteed Corp. 
CIFG  CDC IXIS Financial Guaranty  PSF-GTD  Permanent School Fund Guaranteed 
EDA  Economic Development Authority  RB  Revenue Bonds 
EDC  Economic Development Corp.     

BLACKROCK STRATEGIC MUNICIPAL TRUST JANUARY 31, 2010 1

Schedule of Investments (continued)

BlackRock Strategic Municipal Trust (BSD)
(Percentages shown are based on Net Assets)

     Par   
Municipal Bonds    (000)  Value 
Florida (concluded)       
County of Orange Florida, Refunding RB     
   (Syncora), 4.75%, 10/01/32  $ 2,640  $ 2,578,910 
Hillsborough County IDA, RB, National     
   Gypsum Co., Series A, AMT, 7.13%,     
   4/01/30    3,300  2,541,099 
Miami Beach Health Facilities Authority,     
   RB, Mount Sinai Medical Center of       
   Florida, 6.75%, 11/15/21    1,245  1,256,367 
Sumter Landing Community       
   Development District Florida, RB,       
   Sub-Series B, 5.70%, 10/01/38    1,565  1,179,055 
      8,978,982 
Georgia — 1.5%       
De Kalb Private Hospital Authority,       
   Refunding RB, Children's Healthcare,     
   5.25%, 11/15/39    265  266,187 
Metropolitan Atlanta Rapid Transit       
   Authority, RB, Third Series, 5.00%,       
   7/01/39    1,095  1,133,227 
      1,399,414 
Guam — 1.0%       
Territory of Guam, GO, Series A, 6.00%,     
   11/15/19    200  203,116 
Territory of Guam, GO, Series A, 6.75%,     
   11/15/29    355  367,656 
Territory of Guam, GO, Series A, 7.00%,     
   11/15/39    365  374,566 
      945,338 
Illinois — 9.0%       
Illinois Finance Authority, RB, MJH       
   Education Assistance IV LLC,       
   Sub-Series B, 5.38%, 6/01/35 (c)(d)  300  21,294 
Illinois Finance Authority, RB, Monarch     
   Landing Inc. Facility, Series A, 7.00%,     
   12/01/37 (c)(d)    575  184,000 
Illinois Finance Authority, RB,       
   Northwestern University, 5.00%,       
   12/01/33    5,000  5,138,400 
Illinois Finance Authority, Refunding RB,     
   Central DuPage Health, Series B,       
   5.50%, 11/01/39    2,500  2,581,725 
Illinois Finance Authority, Refunding RB,     
   Friendship Village Schaumburg,       
   Series A, 5.63%, 2/15/37    145  113,928 
State of Illinois, RB, Build Illinois,       
   Series B, 5.25%, 6/15/34    200  206,112 
      8,245,459 
Indiana — 1.8%       
Indiana Finance Authority, RB, Sisters of     
   St. Francis Health, 5.25%, 11/01/39  270  273,059 
Indiana Finance Authority, Refunding       
   RB, Duke Energy Indiana Inc.,       
   Series C, 4.95%, 10/01/40    1,050  1,018,353 

           Par   
Municipal Bonds         (000)  Value 
Indiana (concluded)     
Indiana Municipal Power Agency, RB,     
   Indiana Municipal Power Agency,     
   Series B, 6.00%, 1/01/39  $ 350  $ 373,114 
    1,664,526 
Kentucky — 7.7%     
Kentucky Economic Development     
   Finance Authority, Refunding RB,     
   Norton Healthcare Inc., Series B     
   (NPFGC), 6.20%, 10/01/24 (a)  17,405  7,067,300 
Maryland — 2.7%     
Maryland Community Development     
   Administration, Refunding RB,     
   Residential, Series A, AMT, 4.70%,     
   9/01/37  2,500  2,282,350 
Maryland EDC, RB, Transportation     
   Facilities Project, Series A, 5.75%,     
   6/01/35  135  136,350 
    2,418,700 
Massachusetts — 0.6%     
Massachusetts Health & Educational     
   Facilities Authority, Refunding RB,     
   Partners Healthcare, Series J1,     
   5.00%, 7/01/39  570  572,103 
Michigan — 0.7%     
Michigan State Hospital Finance     
   Authority, Refunding RB, Henry Ford     
   Health System, Series A, 5.25%,     
   11/15/46  730  638,020 
Missouri — 1.1%     
Missouri Joint Municipal Electric Utility     
   Commission, RB, Plum Point Project     
   (NPFGC), 4.60%, 1/01/36  1,125  949,714 
Multi-State — 6.3%     
Centerline Equity Issuer Trust, 7.60%,     
   12/15/50 (e)(f)  2,000  2,067,420 
MuniMae TE Bond Subsidiary LLC,     
   7.50%, 6/30/49 (e)(f)  3,948  3,661,363 
    5,728,783 
Nevada — 1.0%     
County of Clark Nevada, Refunding RB,     
   Alexander Dawson School Nevada     
   Project, 5.00%, 5/15/29  905  899,398 
New Jersey — 4.0%     
Middlesex County Improvement     
   Authority, RB, Subordinate, Heldrich     
   Center Hotel, Series B, 6.25%,     
   1/01/37  645  119,325 
New Jersey EDA, RB, Cigarette Tax,     
   5.50%, 6/15/24  2,175  2,134,632 

2 BLACKROCK STRATEGIC MUNICIPAL TRUST JANUARY 31, 2010

Schedule of Investments (continued)

BlackRock Strategic Municipal Trust (BSD)
(Percentages shown are based on Net Assets)

     Par   
Municipal Bonds    (000)  Value 
New Jersey (concluded)       
New Jersey State Turnpike Authority, RB,     
   Series E, 5.25%, 1/01/40  $ 1,355  $ 1,402,750 
      3,656,707 
New York — 4.0%       
Albany Industrial Development Agency,     
   RB, New Covenant Charter School       
   Project, Series A, 7.00%, 5/01/35    315  198,444 
New York City Industrial Development     
   Agency, RB, American Airlines Inc.,       
   JFK International Airport, AMT, 7.75%,     
   8/01/31    3,000  2,969,970 
New York Liberty Development Corp.,       
   RB, Goldman Sachs Headquarters,       
   5.25%, 10/01/35    465  467,385 
      3,635,799 
North Carolina — 2.5%       
City of Charlotte North Carolina, RB,       
   Series B, 5.00%, 7/01/38    300  319,818 
City of Charlotte North Carolina, RB,       
   Series B, 4.50%, 7/01/39    290  289,052 
North Carolina Eastern Municipal Power     
   Agency, Refunding RB, Series B,       
   5.00%, 1/01/26    700  720,279 
North Carolina Medical Care       
   Commission, RB, Duke University       
   Health System, Series A, 5.00%,       
   6/01/39    200  200,728 
North Carolina Medical Care       
   Commission, RB, Duke University       
   Health System, Series A, 5.00%,       
   6/01/42    440  437,870 
North Carolina Municipal Power Agency     
   No. 1 Catawba, Refunding RB,       
   Series A, 5.00%, 1/01/30    340  346,606 
      2,314,353 
Ohio — 2.7%       
Buckeye Tobacco Settlement Financing     
   Authority, RB, Asset-Backed, Senior       
   Series A-2, 6.50%, 6/01/47    1,880  1,576,606 
County of Montgomery Ohio, Refunding     
   RB, Catholic Healthcare, Series A,       
   5.00%, 5/01/39    885  884,929 
      2,461,535 
Oklahoma — 1.3%       
Tulsa Airports Improvement Trust, RB,     
   Series A, AMT, 7.75%, 6/01/35    1,225  1,199,900 
Pennsylvania — 10.1%       
Allegheny County Hospital Development     
   Authority, Refunding RB, Health       
   System, West Penn, Series A, 5.00%,     
   11/15/13    1,750  1,671,845 

     Par   
Municipal Bonds    (000)  Value 
Pennsylvania (concluded)       
Pennsylvania Economic Development       
   Financing Authority, RB, Amtrak       
   Project, Series A, AMT, 6.50%,       
   11/01/16  $ 1,000  $ 1,022,180 
Pennsylvania Economic Development       
   Financing Authority, RB, Amtrak       
   Project, Series A, AMT, 6.13%,       
   11/01/21    700  705,992 
Pennsylvania Economic Development       
   Financing Authority, RB, Amtrak       
   Project, Series A, AMT, 6.25%,       
   11/01/31    1,000  1,008,650 
Pennsylvania Economic Development       
   Financing Authority, RB, Aqua       
   Pennsylvania Inc. Project, 5.00%,       
   11/15/40    600  599,958 
Pennsylvania Economic Development       
   Financing Authority, RB, Reliant       
   Energy, Series A, AMT, 6.75%,       
   12/01/36    2,000  2,022,680 
Pennsylvania Turnpike Commission, RB,     
   Sub-Series B, 5.25%, 6/01/39    2,175  2,194,009 
      9,225,314 
Puerto Rico — 3.1%       
Commonwealth of Puerto Rico, GO,       
   Refunding, Public Improvement,       
   Series C, 6.00%, 7/01/39    940  955,491 
Puerto Rico Sales Tax Financing Corp.,     
   RB, First Sub-Series A, 6.50%,       
   8/01/44    1,770  1,888,873 
      2,844,364 
South Carolina — 3.3%       
South Carolina Jobs EDA, Refunding RB,     
   Palmetto Health, Series C, 7.00%,       
   8/01/13 (b)    2,500  2,982,904 
South Dakota — 0.8%       
South Dakota Health & Educational       
   Facilities Authority, RB, Sanford       
   Health, 5.00%, 11/01/40    755  727,405 
Texas — 17.9%       
Brazos River Authority, RB, TXU Electric,     
   Series A, AMT, 8.25%, 10/01/30    730  503,846 
Brazos River Authority, Refunding RB,       
   TXU Electric Co. Project, Series C,       
   AMT, 5.75%, 5/01/36    730  686,331 
City of Houston Texas, RB, Senior Lien,     
   Series A, 5.50%, 7/01/39    485  515,177 
City of Houston Texas, Refunding RB,       
   Combined, First Lien, Series A (AGC),     
   6.00%, 11/15/35    2,730  3,082,307 
Harris County-Houston Sports Authority,     
   Refunding RB, CAB, Senior Lien,       
   Series A, (NPFGC), 6.17%,       
   11/15/38 (a)    4,750  599,308 
La Joya ISD Texas, GO, (PSF-GTD),       
   5.00%, 2/15/34    4,060  4,159,835 

BLACKROCK STRATEGIC MUNICIPAL TRUST JANUARY 31, 2010 3

Schedule of Investments (continued)

BlackRock Strategic Municipal Trust (BSD)
(Percentages shown are based on Net Assets)

   Par   
Municipal Bonds  (000)  Value 
Texas (concluded)     
La Vernia Higher Education Finance     
   Corp., RB, KIPP Inc., 6.38%, 8/15/44 $  500 $  509,455 
North Texas Tollway Authority, RB, Toll,     
   Second Tier, Series F, 6.13%,     
   1/01/31  1,025  1,071,689 
State of Texas, GO, Refunding, Water     
   Financial Assistance, 5.75%, 8/01/22  500  511,240 
Texas Private Activity Bond Surface     
   Transportation Corp., RB, Senior Lien,     
   Note Mobility, 6.88%, 12/31/39  1,220  1,269,983 
Texas State Turnpike Authority, RB, CAB,     
   (AMBAC), 6.05%, 8/15/31 (a)  15,000  3,420,900 
    16,330,071 
Utah — 1.3%     
City of Riverton Utah, RB, IHC Health     
   Services Inc., 5.00%, 8/15/41  1,150  1,148,160 
Virginia — 3.7%     
City of Norfolk Virginia, Refunding RB,     
   Series B, (AMBAC), 5.50%, 2/01/31  420  409,286 
University of Virginia, Refunding RB,     
   General, 5.00%, 6/01/40  2,500  2,637,550 
Virginia Small Business Financing     
   Authority, Refunding RB, Sentara     
   Healthcare, 5.00%, 11/01/40  305  304,027 
    3,350,863 
Washington — 0.7%     
County of King Washington, Refunding     
   RB, (AGM), 5.00%, 1/01/36  620  634,322 
Wisconsin — 4.8%     
Wisconsin Health & Educational     
   Facilities Authority, RB, Ascension     
   Health Credit Group, Series A, 5.00%,     
   11/15/31  4,330  4,384,385 
Wyoming — 1.2%     
County of Sweetwater Wyoming,     
   Refunding RB, Idaho Power Co.     
   Project, 5.25%, 7/15/26  975  1,007,643 
Wyoming Municipal Power Agency, RB,     
   Series A, 5.00%, 1/01/42  95  91,909 
    1,099,552 
Total Municipal Bonds – 132.8%                                           121,322,561
Municipal Bonds Transferred to Tender     
Option Bond Trusts (g)     
Alabama — 0.8%     
Alabama Special Care Facilities     
   Financing Authority Birmingham,     
   Alabama, RB, Ascension Health Senior     
Credit, Series C2, 5.00%, 11/15/36                           760           760,073

Municipal Bonds Transferred to Tender   Par   
Option Bond Trusts (g)  (000)  Value 
California — 2.4%     
California Educational Facilities     
   Authority, RB, University of Southern     
   California, Series A, 5.25%, 10/01/18 $  855 $  902,452 
Los Angeles Community College District,     
   California, GO, Election 2001,     
   Series A, (AGM), 5.00%, 8/01/32  740  747,837 
San Diego Community College District     
   California, GO, Election of 2002,     
   5.25%, 8/01/33  553  565,873 
    2,216,162 
Colorado — 2.1%     
Colorado Health Facilities Authority, RB,     
   Catholic Health, Series C3, (AGM),     
   5.10%, 10/01/41  1,210  1,193,072 
Colorado Health Facilities Authority, RB,     
   Catholic Health, Series C7, (AGM),     
   5.00%, 9/01/36  780  767,559 
    1,960,631 
Connecticut — 3.6%     
Connecticut State Health & Educational     
   Facility Authority, RB, Yale University,     
   Series T1, 4.70%, 7/01/29  1,580  1,669,491 
Connecticut State Health & Educational     
   Facility Authority, RB, Yale University,     
   Series X3, 4.85%, 7/01/37  1,540  1,605,204 
    3,274,695 
Illinois — 1.6%     
Chicago New Public Housing Authority,     
   Illinois, Refunding RB, (AGM), 5.00%,     
   7/01/24  1,424  1,478,239 
Massachusetts — 2.2%     
Massachusetts Water Resources     
   Authority, RB, Generation, Series A,     
   5.00%, 8/01/41  1,980  2,011,858 
New Hampshire — 0.8%     
New Hampshire Health & Education     
   Facilities Authority, Refunding RB,     
   Dartmouth College, 5.25%, 6/01/39  645  692,388 
New York — 0.6%     
New York City Municipal Water Finance     
   Authority, RB, Series FF-2, 5.50%,     
 6/15/40                                                               510             557,890

4 BLACKROCK STRATEGIC MUNICIPAL TRUST JANUARY 31, 2010

Schedule of Investments (continued)

BlackRock Strategic Municipal Trust (BSD)
(Percentages shown are based on Net Assets)

Municipal Bonds Transferred to Tender           Par   
Option Bond Trusts (g)  (000)  Value 
Tennessee — 1.4%     
Shelby County Health Educational &     
   Housing Facilities Board, RB, Saintt     
   Judes Children’s Research Hospital,     
   5.00%, 7/01/31  $ 1,280 $  1,299,610 
Texas — 2.4%     
County of Harris Texas, RB, Senior Lien,     
   Toll Road, Series A, 5.00%, 8/15/38  2,140  2,192,173 
Virginia — 3.3%     
Virginia Housing Development Authority,     
   RB, Series H, SubSeries H 1, (NPFGC),     
   5.35%, 7/01/31  1,125  1,135,519 
University of Virginia, Refunding RB,     
   General, 5.00%, 6/01/40  1,790  1,888,486 
    3,024,005 
Washington — 3.8%     
Central Puget Sound Regional     
   Transportation Authority, Washington,     
   RB, Series A, (AGM), 5.00%,     
   11/01/32  900  937,322 
State of Washington, GO, Various     
   Purpose Series E, 5.00%, 2/01/34  2,400  2,500,200 
    3,437,522 
Total Municipal Bonds Transferred to     
Tender Option Bond Trusts – 25.0%    22,905,246 
Total Long-Term Investments     
(Cost  – $147,723,560) – 157.8%                                         144,227,807 
Short-Term Securities  Shares   
FFI Institutional Tax-Exempt Fund,     
   0.16% (h)(i)  1,292,499  1,292,499 
Total Short-Term Securities     
(Cost – $1,292,499) – 1.4%    1,292,499 
Total Investments     
(Cost – $149,016,059*) – 159.2%    145,520,306 
Other Assets Less Liabilities – 1.5%    1,350,641 
Liability for Trust Certificates, Including Interest   
Expense and Fees Payable – (13.7)%    (12,514,692) 
Preferred Shares, at Redemption Value – (47.0)%  (42,976,578) 
Net Assets Applicable to Common Shares – 100.0% $  91,379,677 
* The cost and unrealized appreciation (depreciation) of investments as of 
       January 31, 2010, as computed for federal income tax purposes, were as 
     follows:     
     Aggregate cost  $ 136,310,546 
     Gross unrealized appreciation    3,147,649 
     Gross unrealized depreciation    (6,444,271) 
     Net unrealized depreciation  $ (3,296,622) 

(a) Represent a zero-coupon bond. Rate shown reflects the current yield as 
  of report date.       
(b) U.S. 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.       
(c) Issuer filed for bankruptcy and/or is in default of interest payments. 
(d) Non-income producing security.       
(e) Security exempt from registration under Rule 144A of the Securities Act 
  of 1933. These securities may be resold in transactions exempt from 
  registration to qualified institutional investors.     
(f)  Security represents a beneficial interest in a trust. The collateral 
  deposited into the trust is federally tax-exempt revenue bonds issued by 
  various state or local governments, or their respective agencies or 
  authorities. The security is subject to remarketing prior to its stated 
  maturity, and is subject to mandatory redemption at maturity.   
(g) Securities represent bonds transferred to a tender option bond trust in 
  exchange for which the Trust acquired residual interest certificates. 
  These securities serve as collateral in a financing transaction.   
(h) Investments in companies considered to be an affiliate of the Trust, for 
  purposes of Section 2(a)(3) of the Investment Company Act of 1940, 
  were as follows:       
      Net   
  Affiliate    Activity  Income 
  FFI Institutional Tax-Exempt Fund  $ 991,302 $   7,163 
(i)  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 Trust’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 Trust’s policy regarding valuation of 
  investments and other significant accounting policies, please refer to 
  Trust’s most recent financial statements as contained in its semi-annual 
  report.       

BLACKROCK STRATEGIC MUNICIPAL TRUST JANUARY 31, 2010 5

Schedule of Investments (concluded) BlackRock Strategic Municipal Trust (BSD)

The following table summarizes the inputs used as of January 31, 2010 in 
determining the fair valuation of the Trust’s investments:   
    Investments in 
Valuation Inputs    Securities 
    Assets 
Level 1 - Short-Term Securities  $ 1,292,499 
Level 2 - Long-Term Investments1    144,227,807 
Level 3    - 
Total  $ 145,520,306 
 1See above Schedule of Investments for values in each state or political 
   subdivision.     

BLACKROCK STRATEGIC MUNICIPAL TRUST JANUARY 31, 2010 6

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.

The BlackRock Strategic Municipal Trust

By: /s/ Anne F. Ackerley
Anne F. Ackerley
Chief Executive Officer of
The BlackRock Strategic Municipal Trust

Date: March 19, 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
The BlackRock Strategic Municipal Trust

Date: March 19, 2010

By: /s/ Neal J. Andrews
Neal J. Andrews
Chief Financial Officer (principal financial officer) of
The BlackRock Strategic Municipal Trust

Date: March 19, 2010