SEARS MUNICIPAL TRUST LONG TERM PORTFOLIO SERIES 120
497J, 1997-08-01
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                                             Rule 497(j)
                                             Reg. No. 33-28194

Pursuant to Rule 497 (j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust, 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,
                         LONG TERM PORTFOLIO SERIES 120

                         By:  Dean Witter Reynolds Inc.
                              (Depositor)


                              Thomas Hines
                              Thomas Hines                  
                              Authorized Signatory



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