PIONEER MONEY MARKET TRUST, 497J, 1998-05-04

PIONEER MONEY MARKET TRUST
497J, 1998-05-04

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                           PIONEER MONEY MARKET TRUST
                                 60 STATE STREET
                           BOSTON, MASSACHUSETTS 02109

                                             
     `                                       May 4, 1998



VIA ELECTRONIC TRANSMISSION

Securities and Exchange Commission
File Desk
Judiciary Plaza
450 Fifth Street, NW
Washington, DC  20549

Re:      Pioneer Money Market Trust (the "Fund")
         File Nos. 33-13179 and 811-5099
         CIK No. 0000812195

Ladies and Gentlemen:

     Pursuant  to Rule  497(j)  under the  Securities  Act of 1933,  this letter
certifies that the Prospectus and Statement of Additional Information that would
have been  required to be filed under  paragraph (c) of Rule 497 does not differ
from that contained in the Post-Effective Amendment, dated April 30. 1998 and
that the text of the  Post-Effective  Amendment  has been filed  electronically,
Accession No. 0000812195-98-000009.

     If you have any  questions  concerning  the  foregoing or the  attachments,
please call the undersigned collect at (617) 517-8909.

                                             Very truly yours,

                                             /s/Linda K. Nishi
 
                                             Linda K. Nishi
                                            

cc:      Joseph P. Barri, Esq.
         Mark Goshko, Esq.
         Charles F. McCain, Esq.
         Elizabeth A. Watson, Esq.
         Ms. Tracey A. Howard