FIDELITY MONEY MARKET TRUST, 497J, 1996-08-01

FIDELITY MONEY MARKET TRUST
497J, 1996-08-01
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FIDELITY (LOGO) INVESTMENTS(registered trademark)   FMR Corp.               
                                                    82 Devonshire Street    
                                                    Boston MA  02109-3614   
                                                    617 563 7000            
 
                        AUGUST 1, 1996   
                                         
                                         
                                         
                                         
 
Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, DC  20549
Attention:   File Room                                  
 
                                                        
 
Re:          Fidelity Money Market Trust (the trust):   
 
             Rated Money Market                         
 
             File No. (2-76309 AND 811-3407)            
 
__________________________________________________________________________
Ladies and Gentlemen:
 Transmitted herewith pursuant to Rule 497(j) under the Securities Act of
1933 is certification that the Prospectuses and Statements of Additional
Information with respect to the above referenced funds do not differ from
those filed in the most recent post-effective amendment, which was filed
electronically.
                        Very truly yours,     
 
                                              
 
                                              
 
                                              
 
                                              
                           Arthur S. Loring   
                           Secretary