Rule 497(j)
                                             Reg. No. 33-20751
                                             Reg. No. 33-24577    
                              

Pursuant to Rule 497 (j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust, Alabama
Portfolio Series 2 and Connecticut Portfolio 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,
                    ALABAMA PORTFOLIO SERIES 2
                    CONNECTICUT PORTFOLIO SERIES 1
                              
                    By:  Dean Witter Reynolds Inc.
                         (Depositor)


                         Michael D. Browne
                         Michael D. Browne
                         Authorized Signatory



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