PAINEWEBBER MUNICIPAL MONEY MARKET SERIES
24F-2NT, 1998-09-22
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                                                         -----------------------
                            UNITED STATES                     OMB APPROVAL
                                                         -----------------------
                                                         -----------------------
                  SECURITIES AND EXCHANGE COMMISSION     OMB Number: 3235-0456
                      Washington, D.C. 20549             Expires:August 31, 2000
                                                         Estimated average
                                                         burden
                                                         hours per response.1
                                                         ----------------------
                               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:

         PaineWebber Municipal Money Market Series
         1285 Avenue of the Americas
         New York, NY 10019

- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
    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): |X|


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

            811-6173

         Securities Act File Number:

            33-36766


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

            June 30, 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.



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



<PAGE>





- --------------------------------------------------------------------------------
     5. Calculation of registration fee:

        (i)  Aggregate sale price of                               $ 328,952,910
                                                                    ------------
             securities sold during the
             fiscal year pursuant to
             section 24(f):

        (ii) Aggregate price of
             securities redeemed or              $   332,996,989
                                                  --------------
             repurchased during the
             fiscal year

        (iii)Aggregate  price of securities  redeemed or repurchased  during any
             prior fiscal year ending no
             earlier than October 1,             $     8,894,895
             1995 that were not                   --------------    
             previously used to reduce
             registration fees payable
             to the Commission:

        (iv) Total available redemption credits [add Items       - $ 341,891,884
             5(ii) and 5(iii)]:                                    -------------


        (v)  Net sales - if item 5(i) is
             greater than Item 5(iv)                               $           0
                                                                    ------------
             [subtract item 5(iv) from
             Item 5(i)]:

    ----------------------------------------------------------------------------
        (vi) Redemption credits
             available for use in future         $ (12,938,974)
             years  -- if Item 5(i) is            ------------

             less than Item 5(iv)
             [subtract Item 5(iv) from
             Item 5(i)]:
    ----------------------------------------------------------------------------

        (vii) Multiplier for determining
             registration fee (See                               x $    0.000295
                                                                    ------------
             Instruction C.9):

        (viii) Registration fee due [multiply Item 5(v) by Item
             5(vii)] (enter "0" if no                            = $           0
                                                                    ------------
             fee is due):

- --------------------------------------------------------------------------------
     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:  NONE . 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:
           68,498,550  .

- --------------------------------------------------------------------------------
    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
                                                                    ============
- --------------------------------------------------------------------------------


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<PAGE>

     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

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

                                  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/ JOHN J. LEE
                              -------------------

                              JOHN J. LEE
                              -------------------
     
                              VICE PRESIDENT AND ASSISTANT TREASURER
                              --------------------------------------
     
Date: SEPTEMBER 21, 1998
      ------------------

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









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