INVESCO MONEY MARKET FUNDS INC
497, 1996-10-01
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INVESCO Funds Group, Inc.
7800 E. Union Avenue
Denver, CO  80237
(303) 930-6300



October 1, 1996



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

RE:   INVESCO Money Market Funds, Inc.
      1933 Act No. 002-55079
      1940 Act No. 811-2606
      CIK No. 35685

Ladies and Gentlemen:

Pursuant  to  Rule  497(j)  of the  Securities  Act of  1933  (the  "1933  Act")
(submission  type 497),  INVESCO Money Market Funds,  Inc. (the "Fund"),  hereby
submits  for  filing on EDGAR this  certification  that the  definitive  form of
Prospectus and Statement of Additional  Information for filing under Rule 497(c)
does not differ from that  contained in the  Post-Effective  Amendment No. 32 to
the  Registration  Statement  which was  electronically  filed  pursuant to Rule
485(b)  on  September  26,  1996.  This  Post-Effective  Amendment  is to become
effective today.

If you have any  questions  or comments,  please  contact the  undersigned  at
303/930-6200.    

Sincerely,

/s/ Glen A. Payne
- -----------------
Glen A. Payne
Senior Vice President, Secretary
  and General Counsel

GAP:ss



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