TAX EXEMPT SECURITIES TRUST SERIES 371
24F-2NT, 1999-03-31
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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2

             Read Instructions at end of Form before preparing Form.


- --------------------------------------------------------------------------------
      1.     Name and address of issuer:

                            Salomon Smith Barney Inc.
                        388 Greenwich Street, 23rd Floor
                               New York, NY 10013


- --------------------------------------------------------------------------------
      2.     The name of each series or class of securities  for which this Form
             is filed (if the Form is being  filed for all series and classes of
             securities  of the issuer,  check the box but do not list series or
             classes): /  /

                    Tax-Exempt Securities Trust, Series 371 -
                    Intermediate Trust 31, Maryland Trust 85,
                      Missouri Trust 79, New York Trust 121


- --------------------------------------------------------------------------------
      3.     Investment Company Act File Number:

                                                       811-2560
             Securities Act File Number:
                                                       33-57818

- --------------------------------------------------------------------------------
      4(a). Last day of fiscal year for which this Form is filed:

                                December 31, 1998


- --------------------------------------------------------------------------------
      4(b). / /  Check box if this Form is being filed late (i.e.,
                 more than 90 calendar days after the end of the issuer's fiscal
                 year). (See Instruction A.2)


     Note: If the Form is being filed late, interest must be paid on the
     registration fee due.


- --------------------------------------------------------------------------------

     4(c). /  /  Check box if this is the last time the issuer will be
                 filing this Form.



- --------------------------------------------------------------------------------


747032.1

<PAGE>

<TABLE>
     <S>                                                                                <C>        <C>
      5. Calculation of registration fee:

      (i)    Aggregate sale price of securities sold during the fiscal                                                     
             year pursuant to section 24(f):                                                        $ 152,086
                                                                                                     --------
      (ii)   Aggregate price of securities redeemed or                                                                     
             repurchased during the fiscal year:                                         $ 527,801                         
                                                                                          --------
      (iii)  Aggregate price of securities redeemed or                                                                     
             repurchased during any prior fiscal year ending no                                                            
             earlier than October 11, 1995 that were not previously                                                        
             used to reduce registration fees payable to the                                                               
             Commission:                                                                $ 771,738                         
                                                                                         ---------
      (iv)   Total available redemption credits [add items 5(ii) and 5(iii)]:
                                                                                                    $ 1,299,539
                                                                                                     ----------
      (v)    Net sales -- if Item 5(i) is greater than Item 5(iv) [subtract Item
             5(iv) from Item 5(i)]:
                                                                                                    $     - 0 -
                                                                                                     ----------
      (vi)   Redemption  credits  available  for use in future years ___ if Item
             5(i) is less than Item 5(iv) [subtract Item 5(iv) from Item 5(i)]:
                                                                                      $ (1,147,453)                        
                                                                                       -----------                         
      (vii)  Multiplier for determining registration fee (See Instruction C.9):
                                                                                                    x  .000278
                                                                                                     ---------
      (viii) Registration fee due [multiply Item 5(v) by Item 5(vii)] (enter "0"
             if no fee is due):
                                                                                                    =$   - 0 -
                                                                                                      ========
- --------------------------------------------------------------------------------
      6.     Prepaid Shares

      If the  response to Item 5(i) was  determined  by  deducting  an amount of
      securities that were registered  under the Securities Act of 1933 pursuant
      to rule 24e-2 as in effect before October 11, 1997, then report the amount
      of  securities  (number of shares or other  units)  deducted  here: 0 . If
      there is a number of shares or other units that were  registered  pursuant
      to rule 24e-2  remaining  unsold at the end of the  fiscal  year for which
      this  form is filed  that are  available  for use by the  issuer in future
      fiscal years, then state that number here: 0 .


- --------------------------------------------------------------------------------
      7.     Interest due -- if this Form is being filed more than 90                                                     
             days after the end of the issuer's fiscal year  (see                                   
             Instruction D):                                                                        +$       0
                                                                                                      --------
- --------------------------------------------------------------------------------
      8.     Total of the amount of the  registration  fee due plus any interest
             due [line 5(viii) plus line 7]:

                                                                                                    =$   - 0 -
                                                                                                      ========
- --------------------------------------------------------------------------------
      9.     Date the  registration fee and any interest payment was sent to the
             Commission's lockbox depository:

                   Method of Delivery:

                                              /  /  Wire Transfer
                                              /  /  Mail or other means

- --------------------------------------------------------------------------------
</TABLE>


747032.1

<PAGE>




                                   SIGNATURES

             This  report has been  signed  below by the  following  persons on
             behalf  of  the  issuer  and  in the  capacities  and on the  dates
             indicated.




             By (Signature and Title)*    /s/GINA LEMON
                                          -------------
                                          Gina Lemon
                                          Authorized Signatory


         Date:  3/25/99

     *Please print the name and title of the signing officer below the
     signature.

747032.1

<PAGE>


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