SEARS MUNICIPAL TRUST INSURED CALIFORNIA SERIES 31, 497J, 1994-07-15

SEARS MUNICIPAL TRUST INSURED CALIFORNIA SERIES 31
497J, 1994-07-15

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                                             Rule 497(j)
                                             Reg. No. 33-17212


Pursuant to Rule 497 (j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust, Insured
California 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
     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 31

                         By:  Dean Witter Reynolds Inc.
                              (Depositor)


                              Michael D. Browne
                              Michael D. Browne
                              Authorized Signatory