UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

FORM N-Q

QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED
MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number:__811-09401______

_______BlackRock Strategic Municipal Trust_______
(Exact name of registrant as specified in charter)

100 Bellevue Parkway, Wilmington, DE 
19809 
(Address of principal executive offices) 
(Zip code) 

Robert S. Kapito, President
BlackRock Strategic Municipal Trust
40 East 52nd Street, New York, NY 10022
(Name and address of agent for service)

Registrant's telephone number, including area code:_888-825-2257                              

Date of fiscal year end:___December 31, 2006
Date of reporting period:__March 31, 2006

Item 1. Schedule of Investments.
The Registrant’s unaudited schedule of investments as of the close of the reporting period pursuant to Rule 30b1-5 under the Investment Company Act of 1940 is as follows:

PORTFOLIO OF INVESTMENTS
MARCH 31, 2006 (
unaudited)

BlackRock Strategic Municipal Trust (BSD)

      Principal                
        Amount           Option Call    
    Rating1   (000)   Description       Provisions2   Value  

          LONG-TERM INVESTMENTS—142.0%            
            Alabama—9.5%            
    Baa3   $ 3,000   Courtland Ind. Dev. Brd. PCRB, Champion Intl. Corp. Proj., Ser. A, 6.70%, 11/01/29       11/09 @ 101   $    3,209,250  
    AA   7,000   Pub. Sch. & Coll. Auth. Cap. Impvt. RB, Ser. C, 5.75%, 7/01/18       07/09 @ 101.5   7,520,380  

                        10,729,630  

            Arizona—1.9%            
    AA   1,275   Salt River Proj. Agricultural Impvt. & Pwr. Dist. RB, Ser. A, 5.00%, 1/01/35       01/16 @ 100   1,326,778  
            San. Luis Fac. Dev. Corp. RB, Sr. Lien Proj. Regl. Detention Ctr. Proj.,            
    NR   210       6.25%, 5/01/15       05/10 @ 107   205,050  
    NR   210       7.00%, 5/01/20       05/10 @ 107   203,956  
    NR   420       7.25%, 5/01/27       05/10 @ 107   405,901  

                        2,141,685  

            California—11.5%            
            California Cnty. Tobacco Sec. Corp. RB,            
    BBB-   585       Sub. B, Zero Coupon, 6/01/46       06/16 @ 17.602   55,979  
    BB   3,095       Sub. C, Zero Coupon, 6/01/55       06/16 @ 8.90   142,587  
    NR   3,955       Sub. D, Zero Coupon, 6/01/55       06/16 @ 6.219   116,000  
    AAA   5,000   California St. GO, 5.00%, 3/01/33       03/15 @ 100   5,155,650  
    AAA   4,295   Golden St. Tobacco Sec. Corp. RB, 5.00%, 6/01/45       06/15 @ 100   4,396,147  
    AAA   2,055   Los Angeles Dept. of Wtr. & Pwr. Sys. RB, 5.00%, 7/01/31, FSA       07/15 @ 100   2,139,728  
    AAA   1,055   Los Angeles Unified Sch. Dist. GO, Election of 2004, Ser. F, 5.00%, 7/01/30, FGIC       07/16 @ 100   1,103,118  

                        13,109,209  

            Colorado—3.0%            
    AAA   10,000   Northwest Pkwy. Pub. Hwy. Auth. RB, Ser. B, Zero Coupon, 6/15/30, FSA       06/11 @ 31.387   2,464,300  
    Baa2   440   Park Creek Met. Dist. Ppty. Tax RB, 5.50%, 12/01/37       12/15 @ 101   449,909  
    AAA   445   Springs Co. Utils. RB, Ser. C, 5.00%, 11/15/45, FSA       11/15 @ 100   456,245  

                        3,370,454  

            Connecticut—8.6%            
            Mashantucket Western Pequot Tribe Spec. RB,            
    Baa3   1,500       Ser. A, 5.50%, 9/01/28       09/09 @ 101   1,539,615  
    Baa3   8,000 3        Ser. B, 5.75%, 9/01/27       09/07 @ 102   8,204,640  

                        9,744,255  

            Florida—8.7%            
    NR   1,730   Arborwood Cmnty. Dev. Dist. SA, Master Infrastructure Proj., Ser. B, 5.10%, 5/01/14       No Opt. Call   1,710,953  
    NR   3,300   Hillsborough Cnty. Ind. Dev. Auth. RB, Nat. Gypsum Proj., Ser. A, 7.125%, 4/01/30       10/10 @ 101   3,591,555  
    BB+   2,045   Miami Beach Hlth. Facs. Auth. RB, Mt. Sinai Med. Ctr. Proj., 6.75%, 11/15/21       11/14 @ 100   2,283,120  
    AAA   645   Peace River/Manasota Regl. Wtr. Sply. Auth. RB, 5.00%, 10/01/30, FSA       10/15 @ 100   672,722  
    NR   1,630   Sumter Landing Cmnty. Dev. Dist. RB, Ser B, 5.70%, 10/01/38       10/15 @ 100   1,628,272  

                        9,886,622  

            Illinois—9.1%            
    NR   850 3 Centerpoint Intermodal Ctr. Prog. Trust TA, Ser. A, 8.00%, 6/15/23       No Opt. Call   852,456  
    AAA   520 4 Chicago Brd. of Ed. Sch. Reform GO, 5.75%, 12/01/07, AMBAC       N/A   548,023  
    AA+   5,000   Edl. Fac. Auth. RB, Northwestern Univ. Proj., 5.00%, 12/01/33       12/13 @ 100   5,137,250  
            Fin. Auth. RB,            
    BB+   295       Friendship Vlg. Schaumburg Proj., Ser. A, 5.625%, 2/15/37       02/15 @ 100   297,006  
    Baa2   375       Student Hsg., MJH Ed. Asst. Living Proj., Ser. A, 5.125%, 6/01/35       06/14 @ 100   367,627  
    Baa3   300       Student Hsg., MJH Ed. Asst. Living Proj., Ser. B, 5.375%, 6/01/35       06/14 @ 100   294,237  
            O’Hare Intl. Arpt. RB,            
    AAA   1,000       Ser. A, 5.00%, 1/01/30, MBIA       01/15 @ 100   1,032,810  
    AAA   1,755       Ser. A, 5.00%, 1/01/33, FGIC       01/16 @ 100   1,812,266  

                        10,341,675  

1


BlackRock Strategic Municipal Trust (BSD) (continued)

      Principal                
        Amount           Option Call    
    Rating1   (000)   Description       Provisions2   Value  

          Kentucky—11.9%            
    AAA   $32,345   Econ. Dev. Fin. Sys. RB, Norton Hlth. Care, Inc. Proj., Ser. B, Zero Coupon, 10/01/24, MBIA       No Opt. Call   $ 13,529,914  

            Maine—1.5%            
    AAA   1,600   Hlth. & Higher Edl. Fac. Auth. RB, 5.00%, 7/01/29, MBIA       07/15 @ 100   1,661,040  

            Massachusetts—2.7%            
    AA   440   Massachusetts St. Wtr. Res. Auth. Gen. RB, Ser. A, 5.00%, 8/01/41       08/16 @ 100   454,304  
    AAA   2,500   Wtr. Res. Auth. RB, Ser. B, 5.00%, 8/01/35, MBIA       08/17 @ 100   2,598,525  

                        3,052,829  

            Michigan—1.9%            
    AAA   2,000 4    Hosp. Fin. Auth. RB, Mercy Hlth. Svcs. Proj., 5.75%, 8/15/09, MBIA       N/A   2,142,760  

            Missouri—1.9%            
    A   2,000 4 Hlth. & Edl. Facs. Auth. Hlth. Facs. RB, St. Anthony’s Med. Ctr. Proj., 6.125%, 12/01/10       N/A   2,216,980  

            Multi-State—5.7%            
    Baa1   2,000 3 Charter Mac Equity Issuer Trust, Ser. B, 7.60%, 11/30/50       11/10 @ 100   2,237,040  
    A3   4,000 3 MuniMae TE Bond Subsidiary LLC, Ser. A, 6.875%, 6/30/49       06/09 @ 100   4,287,760  

                        6,524,800  

            New Jersey—0.5%            
    NR   645   Middlesex Cnty. Imprt. Auth. RB, Heldrich Ctr. Hotel Proj., Ser. B, 6.25%, 1/01/37       01/15 @ 100   626,063  

            New York—14.3%            
    NR   315   Albany Indl. Dev. Agcy. RB, New Covenant Charter Sch. Proj., Ser. A, 7.00%, 5/01/35       05/15 @ 102   294,953  
    AA-   4,730   Liberty Dev. Corp. RB., 5.25%, 10/01/35       No Opt. Call   5,207,257  
    Aa1   2,500   Mtg. Agcy. Homeowner Mtg. RB, Ser. 85, 5.70%, 10/01/17       09/09 @ 100   2,584,050  
    B-   6,000   New York City Indl. Dev. Agcy. RB, American Airlines, JFK Intl. Arpt. Proj., 7.75%, 8/01/31       08/16 @ 101   6,610,980  
    AAA   1,500   Sales Tax Asset Receivable Corp. RB, Ser. A, 5.00%, 10/15/32, AMBAC       10/14 @ 100   1,563,405  

                        16,260,645  

            Ohio—5.6%            
    AAA   6,265   Air Qual. Dev. Auth. RB, 4.80%, 1/01/34, FGIC       07/15 @ 100   6,311,110  

            Oklahoma—1.2%            
    B-   1,225   Tulsa Mun. Arpt. Trust RB, Ser. A, 7.75%, 6/01/35       No Opt. Call   1,341,485  

            Pennsylvania—13.9%            
    AAA   7,000   Allegheny Cnty. San. Swr. Auth. RB, Ser. A, 5.00%, 12/01/30, MBIA       12/15 @ 100   7,310,310  
            Econ. Dev. Fin. Auth. RB,            
    A3   700       Amtrak Proj., Ser. A, 6.125%, 11/01/21       05/11 @ 101   741,279  
    A3   1,000       Amtrak Proj., Ser. A, 6.25%, 11/01/31       05/11 @ 101   1,062,670  
    A3   1,000       Amtrak Proj., Ser. A, 6.50%, 11/01/16       05/11 @ 101   1,084,960  
    NR5   1,000       Amtrak Proj., Ser. G, 5.125%, 12/01/15       No Opt. Call   976,940  
    BB-   3,555       Exempt Facs., Reliant Energy Conv. Proj., Ser. A, 6.75%, 12/01/36       12/09 @ 103   3,787,604  
    AAA   720   Washington Cnty. Auth. RB, Cap. Fdg. & Equip. Proj., 6.15%, 12/01/29, AMBAC       No Opt. Call   766,598  

                        15,730,361  

            South Carolina—3.6%            
            Jobs Econ. Dev. Auth. Hosp. Facs. RB Palmetto Hlth. Proj.,            
    BBB+   2,225 4     Ser. C, 7.00%, 8/01/13       N/A   2,640,252  
    BBB+   275       Ser. C, 7.00%, 8/01/30       08/13 @ 100   316,720  
    AAA   1,060   Transp. Infrastructure Bank RB, Ser. A, 5.00%, 10/01/33       10/12 @ 100   1,088,938  

                        4,045,910  

            Tennessee—1.9%            
    AAA   2,000   Memphis Shelby Cnty. Arpt. Auth. RB, Ser. D, 6.00%, 3/01/24, AMBAC       03/10 @ 101   2,126,760  

            Texas—19.1%            
    Baa2   730   Brazos River Auth. PCRB, 5.00%, 3/01/41       03/11 @ 100   724,554  
    AAA   4,750   Harris Cnty. Houston Sports Auth. RB, Ser. A, Zero Coupon, 11/15/38, MBIA       11/30 @ 61.166   801,848  
    AAA   5,000   Humble Indpt. Sch. Dist. Sch. Bldg. GO, Ser. B, 5.00%, 2/15/30, FGIC       02/15 @ 100   5,180,750  
    AAA   4,865   Katy Indpt. Sch. Dist. GO, Ser. B, 5.00%, 2/15/32       02/15 @ 100   5,026,518  
    AAA   4,060   La Joya Indpt. Sch. Dist. GO, 5.00%, 2/15/34       02/14 @ 100   4,160,485  
    AAA   1,500   Lower Colorado River Auth. RB, Ser. A, 5.50%, 5/15/21, AMBAC       05/09 @ 101   1,584,720  
    AAA   15,000   Tpke. Auth. Central Sys. RB, Zero Coupon, 8/15/31, AMBAC       08/12 @ 32.807   3,650,700  
    AA+   500   Wtr. Fin. Asst. GO, 5.75%, 8/01/22       08/10 @ 100   536,025  

                        21,665,600  

2


BlackRock Strategic Municipal Trust (BSD) (continued)

      Principal                
        Amount           Option Call    
    Rating1   (000)   Description       Provisions2   Value  

          Utah—3.7%            
            Intermountain Pwr. Agcy. RB,            
    AAA   $ 2,675       5.75%, 7/01/19, MBIA       07/07 @ 102   $    2,794,439  
    AAA   1,325 4        Ser. B, 5.75%, 7/01/07, MBIA       N/A   1,385,314  

                        4,179,753  

            Wisconsin—0.3%            
    AAA   365   Pub. Pwr, Inc. Sys. RB, Ser. A, 5.00%, 7/01/37, AMBAC       07/15 @ 100   376,695  

            Total Long-Term Investments (cost $151,659,008)           161,116,235  

            SHORT-TERM INVESTMENTS—11.9%            
            Tennessee—7.0%            
            Montgomery Cnty. Pub. Bldg. Auth. RB,            
    VMIG1   3,000 6     3.17%, 4/03/06, FRDD       N/A   3,000,000  
    VMIG1   5,000 6     3.17%, 4/03/06, FRDD       N/A   5,000,000  

                        8,000,000  

        Shares                
        (000)                

            MONEY MARKET FUNDS—4.9%            
    NR   5,550   AIM Tax Free Investment Co. Cash Reserve Portfolio       N/A   5,550,000  

            Total Short-Term Investments (cost $13,550,000)           13,550,000  

            Total Investments—153.9% (cost $165,209,0087)           $174,666,235  
            Other assets in excess of liabilities—0.7%           839,204  
            Preferred shares at redemption value, including dividends payable—(54.6)%           (62,011,038)  

            Net Assets Applicable to Common Shareholders—100%           $113,494,401  


1   Using the higher of Standard & Poor’s, Moody’s Investors Service or Fitch’s ratings.  
2   Date (month/year) and price of the earliest optional call or redemption. There may be other call provisions at varying prices at later dates.  
3   Security is not registered under the Securities Act of 1933. These securities may be resold in transactions in accordance with Rule 144A under that Act, to qualified institutional buyers. As of March 31, 2006, the Trust held 13.7% of its net assets, with a current market value of $15,581,896, in securities restricted as to resale.  
4   This bond is prerefunded. U.S. government securities, held in escrow, are used to pay interest on this security, as well as retire the bond in full at the date indicated, typically at a premium to par.  
5   Security is deemed to be of investment grade quality by the investment advisor.  
6   For purposes of amortized cost valuation, the maturity date of this instrument is considered to be the earlier of the next date on which the security can be redeemed at par, or the next date on which the rate of interest is adjusted. Rate shown is rate as of March 31, 2006.  
7   Cost for Federal income tax purposes is $165,172,716. The net unrealized appreciation on a tax basis is $9,493,519, consisting of $9,787,325 gross unrealized appreciation and $293,806 gross unrealized depreciation. 

KEY TO ABBREVIATIONS

AMBAC     American Municipal Bond Assurance Corp.   MBIA     Municipal Bond Insurance Assoc.  
FGIC     Financial Guaranty Insurance Co.   PCRB     Pollution Control Revenue Bond  
FRDD     Floating Rate Daily Demand   RB     Revenue Bond  
FSA     Financial Security Assurance   SA     Special Assesment  
GO     General Obligation   TA     Tax Allocation
                     

3


Item 2. Controls and Procedures.

(a) The Registrant's principal executive and principal financial officers have evaluated the Registrant's disclosure controls and procedures within 90 days of this filing and have concluded, as of that date, that the Registrant’s disclosure controls and procedures were reasonably designed to ensure that information required to be disclosed by the Registrant in this Form N-Q was recorded, processed, summarized, and reported within the required time periods and that information to be disclosed by the Registrant in this Form N-Q was accumulated and communicated to the Registrant’s management, including its principal executive and principal financial officers, as appropriate, to allow timely decisions regarding required disclosure.

(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 (17 CFR 270.30a -3(d)) 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.

Separate certifications of the Registrant’s Principal Executive and Financial Officers pursuant to Section 302 of the Sarbanes-Oxley Act of 2002 are attached as EX-99.CERT.


SIGNATURES

          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.

(Registrant)___BlackRock Strategic Municipal Trust___

By:___/s/ Henry Gabbay____________________________________
Name: Henry Gabbay
Title: Treasurer and Principal Financial Officer
Date: May 25, 2006

          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/ Robert S. Kapito___________________________________
Name: Robert S. Kapito
Title: President and Principal Executive Officer
Date: May 25, 2006

By:__/s/ Henry Gabbay______________________________________
Name: Henry Gabbay
Title: Treasurer and Principal Financial Officer
Date: May 25, 2006