INVESCO MONEY MARKET FUNDS INC
24F-2NT, 1995-07-21
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Securities and Exchange Commission
Division of Corporation Finance
450 Fifth St., N.W.
Washington, DC  20549

Re:   Rule 24f-2 Notice for INVESCO Money Market Funds, Inc.
      File No. 2-55079

Gentlemen:

Pursuant to Rule 24f-2, the following  information is provided for INVESCO Money
Market Funds,  Inc.  latest  fiscal year which ended May 31, 1995.  Enclosed you
will find an opinion of counsel relating to the securities sold.

Number of securities  which had been registered under the
Securities Act of 1933 other than  pursuant to Section 24f-2
of the  Investment  Company Act, but which remain unsold at
the beginning of the fiscal year.                                            -0-

Number of  securities  registered  during the fiscal year
other than pursuant to Section 24f-2 of the Act.                             -0-

Number of securities sold during the fiscal year.                  3,259,508,873

Number of securities  sold during the fiscal year in
reliance upon registration pursuant to Section 24f-2
of the Act.                                                        3,259,508,873

Actual  aggregate  sale price of securities  sold in
reliance upon  registration pursuant to Section 24f-2(c).         $3,259,508,873

Less:  Actual aggregate  repurchase price of securities
repurchased during the fiscal year ($3,401,529,708) reduced
by actual  aggregate  repurchase price of such securities
previously applied pursuant to Section 24e-2(a)(none).          $(3,401,529,708)
                                                                ----------------
Fee Basis                                                         $(142,020,835)
                                                                ================
Fee: One-twentyninth of 1 per centum of the basis of the
price at which the securities were sold.                          $          -0-
                                                                ================
(Calculation  made  pursuant to Rule 24f-2(c) of the
Investment  Company Act of 1940.)

Yours very truly,

/s/ Dan J. Hesser
- -----------------------
Dan J. Hesser
President &
Chief Executive Officer

Enclosures




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