SMITH BARNEY SHEARSON STRIP ZERO COUPON US TREA SEC FD SER A
24F-2NT, 1994-02-24
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                                         February 24, 1994


      Securities and Exchange Commission
      450 Fifth Street, N.W.
      Washington, D.C. 20549

      Rule 24f-2 Notice for

      Smith Barney Shearson Unit Trusts
      Stripped ("Zero Coupon") U.S. Treasury Securities Fund Series A
      CIK              790198
      Registration No. 33-3762
      ---------------------------

           (i) The fiscal year for which this notice is filed: Fiscal 
      year ended December 31, 1993.

           (ii) The number or amount of securities of the same class or 
      series which have been registered under the Securities act of 
      1933 other than pursuant to Rule 24f-2 but which were unsold at 
      the beginning of the fiscal year: None.

           (iii) The number or amount of securities registered during 
      the fiscal year other than pursuant to Rule 24f-2: None.

           (iv) The number or amount of securities sold during the 
      fiscal year: $2,979,316.42.

           (v) The number or amount of securities sold during the 
      fiscal year in reliance upon registration pursuant to Rule 24f-2: 
      $2,979,316.42.

                              By Smith Barney Shearson Inc.


                              By /s/ Frank Porcelli
                                    Vice President

      ----------------------
      * Actual aggregate sale price for which securities were sold = 
      $2,979,316.42.

      - Actual aggregate redemption or repurchase price of securities 
      of the issuer redeemed or repurchased by the issuer = 
      $1,646,271.31.

      Sales in excess of redemption and repurchase = $1,333,045.11.

      Multiplied by 0.00034483 = $459.67.


                              Davis Polk & Wardwell
                              450 Lexington Avenue
                            New York, New York 10017
                                 (212) 450-4000




                                           February 24, 1994



        Smith Barney Shearson Inc.
        Two World Trade Center, 101st Fl.
        New York, New York 10048


        Dear Sirs:


                  We have acted as special counsel for you, as original 
        or successor of Smith Barney Shearson Unit Trusts, Stripped 
        ("Zero Coupon") U.S. Treasury Securities Fund Series A (the 
        "Fund"); we did not act as your special counsel in connection 
        with the issuance of units of fractional undivided interest in 
        the fund (the "Units") in accordance with the related Trust 
        Indenture (the "Indenture") with the trustee (the "Trustee").  
        However, we have no reason to believe that the Units, when 
        originally issued, were not legally issued, fully-paid and non-
        assessable. The accompanying Rule 24f-2 Notice (the "Notice") for 
        the Fund makes definite in number the registration of Units sold 
        in reliance upon the Rule during the fiscal period covered by the 
        Notice.  The Units covered by the Notice are hereinafter referred 
        to as the "Registered Units".

             We have examined and are familiar with originals or copies, 
        certified or otherwise identified to our satisfaction, of such 
        documents and instruments as we have deemed necessary or 
        advisable for the purpose of this instrument.

             Based upon the foregoing, we are of the opinion that the 
        Registered Units, assuming due execution and delivery of any 
        certificates evidencing the Registered Units, and assuming that 
        the Units when originally issued were legally issued, fully-paid 
        and non-assessable, have been legally issued and are fully-paid 
        and non-assessable.

                                           Very truly yours,


                                           Davis Polk & Wardwell


             $459.67 is the total amount of the wire transfer made on 
        February 23, 1994 in payment of fees due for the Rule 24f-2 
        Notice filing listed herein.



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