Rule 497(j)
                                             Reg. No. 33-44057
                                             Reg. No. 33-28194    
                              

Pursuant to Rule 497 (j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust, Insured
California Series 57 and Long Term Portfolio Series 120, 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
     contained in the most recent amendment to the registration
     statement, and

2)   the text of the said amendment to the registration statement
     has been filed electronically.


                    DEAN WITTER SELECT MUNICIPAL TRUST,
                    INSURED CALIFORNIA SERIES 57        
                    LONT TERM PORTFOLIO SERIES 120       
                                                   
                    By:  Dean Witter Reynolds Inc.
                         (Depositor)


                         Thomas Hines
                         Thomas Hines
                         Authorized Signatory



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