MORGAN STANLEY DEAN WITTER SE EQ TR MSHT 35 IND PORT 99-3
497J, 1999-07-16
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                                              Rule 497(j)
                                              Reg. No. 333-82319

Pursuant to Rule 497(j) promulgated under the Securities Act of
1933, the Registrant, Morgan Stanley Dean Witter Select Equity
Trust, Morgan Stanley High-Technology 35 Index Portfolio 99-3
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 con-
     tained in the most recent amendment to the registration
     statement, and

2)   the text of the said amendment to the registration state-
     ment has been filed electronically.

                         MORGAN STANLEY DEAN WITTER
                         SELECT EQUITY TRUST,
                         Morgan Stanley High-Technology 35 Index
                         Portfolio 99-3
                         (Registrant)

                         By:  Dean Witter Reynolds Inc.


                         ____________________
                         Thomas Hines
                         Authorized Signatory


Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D. C.  20549



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