NATIONAL MUN TR MULTISTATE SER 31 NATIONAL MUN TR SERIES 128, 497J, 1997-01-02

NATIONAL MUN TR MULTISTATE SER 31 NATIONAL MUN TR SERIES 128
497J, 1997-01-02

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                                              Rule 497(j)
                                              Reg. No. 33-36168 

Pursuant to Rule 497(j) promulgated under the Securities Act of
1933, the Registrant, National Municipal Trust, Multistate Series
31 hereby certifies as follows:

1)   the form of prospectus that would have been filed under
     paragraph (b) of Rule 497 does not differ from that con-
     tained in the most recent amendment to the registration
     statement, and

2)   the text of the said amendment to the registration state-   
     ment has been filed electronically.

                                  NATIONAL MUNICIPAL TRUST
                                  MULTISTATE SERIES 31 
                                  (Registrant)

                                  By:  Prudential Securities
                                       Incorporated

                                                                
                                       Kenneth Swankie       
                                       Senior Vice President
                                       Authorized Signatory
                                       

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