Rule 497(j)
                                             Reg. No. 33-41839
                                             Reg. No. 33-41001    
                              

Pursuant to Rule 497 (j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust, Insured
California Intermediate Term Series 3 and New York Intermediate
Term Series 1, 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 INTERMEDIATE TERM SERIES 3
                    NEW YORK INTERMEDIATE TERM SERIES 1
                              
                    By:  Dean Witter Reynolds Inc.
                         (Depositor)


                         Thomas Hines                         
                         Thomas Hines
                         Authorized Signatory



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