INVESCO MONEY MARKET FUNDS INC
24F-2NT, 1999-08-24
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                    U. S. SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

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

1.    Name and Address of issuer:
               INVESCO Money Market Funds, Inc.
               7800 East Union Avenue
               Denver, Colorado 80237

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: 811-2606

      Securities Act File Number:   002-55079


4(a)  Last day of fiscal year for which this Form is filed: May 31, 1999

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)

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

5.    Calculation of registration fee:

      (i)   Aggregate sales price of securities
            sold during the fiscal year
            pursuant to section 24(f)              $9,309,452,164
                                                   --------------

      (ii)  Aggregate price of securities
            redeemed or repurchased during
            the fiscal year:                       $9,248,477,332
                                                   --------------


      (iii) Aggregate  price of securities
            redeemed or repurchased during any
            prior  fiscal year ending no earlier
            than October 1, 1995 that were
            not previously used to reduce
            registration fees payable to the
            Commission                             $0
                                                   --

      (iv)  Total available redemption credits
            [add items  5(ii) and 5(iii)]          $9,248,477,332
                                                   --------------

<PAGE>


      (v)   Net sales - if item 5(i) is greater
            than item 5(iv) [subtract item 5(iv)
            from item 5(i)]                        $60,974,832
                                                   -----------


      (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)]             $0
                                                   --

      (vii) Multiplier for determining
            registration fee (See Instruction C.9) x0.000278
                                                   ---------

      (viii)Registration  fee due [multiply item
            5(v) by item 5(vii)] (enter A0@
            if no fee is due):                     = $16,951.00
                                                   ------------

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:
      _______________.  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:
      _______________.

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]:     =$16,951.00
                                                            -----------


9.    Date of the  registration  fee and any  interest  payment  was sent to the
      Commission's lockbox depository:

            Method of Delivery:
                                   __X_   Wire Transfer
                                   ____   Mail or other means


<PAGE>



                                  SIGNATURE

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

           INVESCO Money Market Funds, Inc.   --INVESCO Cash Reserves Fund
                                              --INVESCO Tax-Free Money
                                              --INVESCO US Government Money Fund



                              By:/s/ Mark H. Williamson
                                 ----------------------
                                 Mark H. Williamson
                                 President


Date: August 24, 1999




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