STRONG MONEY MARKET FUND INC
497J, 2000-07-05
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                               CERTIFICATION OF
                         STRONG MONEY MARKET FUND, INC.


STRONG MONEY MARKET FUND, INC. (the "Registrant") does hereby certify as
follows:

1.     This Certification is made pursuant to Rule 497(j) of the Securities Act
of 1933.

2.     Reference is made to the Registrant's Prospectuses and Statement of
Additional Information each dated July 1, 2000 filed by the Registrant pursuant
to Post-Effective Amendment No. 22 (File No. 2-99439; 811-4374), which was
filed with the Securities and Exchange Commission on June 29, 2000 (the
"Post-Effective Amendment").

3.     The Post-Effective Amendment is the most recent post-effective amendment
filed by the Registrant.

4.     The form of Registrant's Prospectuses and Statement of Additional
Information that would have been filed under Rule 497(c) of the Securities Act
of 1933 would not have differed from that contained in the Post-Effective
Amendment.

5.     The text of the Post-Effective Amendment has been filed electronically.

                              STRONG MONEY MARKET FUND, INC.



                              /S/ CATHLEEN A. EBACHER
                              By:     Cathleen A. Ebacher
                              Title:     Vice President



Dated: July 5, 2000




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