Rule 497(j)
                                             Reg. No. 33-7583


Pursuant to Rule 497 (j) promulgated under the Securities Act of 1933, the
Registrant, Dean Witter Select Equity Trust, Utility Stock 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 EQUITY TRUST,
                         UTILITY STOCK SERIES 1

                         By:  Dean Witter Reynolds Inc.
                              (Depositor)


                              Thomas Hines
                              Thomas Hines
                              Authorized Signatory



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