NUVEEN TAX EXEMPT MONEY MARKET FUND INC
497J, 1995-05-01
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                   NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.
                             333 WEST WACKER DRIVE
                            CHICAGO, ILLINOIS 60606

                                  May 1, 1995

Securities and Exchange Commission
Division of Corporate Finance
450 Fifth Street, N.W.
Washington, D.C. 20549-1004

  Attention:  Filing Desk

     Re:  Nuveen Tax-Exempt Money Market Fund, Inc.
          Registration Statement on Form N-1A
          File No. 2-70520 (Post-Effective Amendment No. 16)
          File No. 811-3134 (Amendment No. 16)
          ------------------------------------

Gentlemen:

     Nuveen Tax-Exempt Money Market Fund, Inc. (the "Registrant") hereby
certifies, pursuant to Rule 497(j) of the Securities Act of 1933, that (i) the
form of prospectus and Statement of Additional Information that would have been
filed under paragraph (b) or (c) of Rule 497 would not have differed from that
contained in the above captioned, most recently filed amendment to the
registration statement of the Registrant (the "Amendment"), and (ii) the text of
the Amendment has been filed electronically.

                                 Nuveen Tax-Exempt Money Market Fund, Inc.


                                 By:  /s/ Gifford R. Zimmerman 
                                      ------------------------------------
                                      Gifford R. Zimmerman, Vice President



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