WITTER DEAN S&P 500 INDEX FUND
N-8A, 1997-06-20
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                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM N-8A

                          NOTIFICATION OF REGISTRATION
                      FILED PURSUANT TO SECTION 8(a) OF THE
                         INVESTMENT COMPANY ACT OF 1940

             The undersigned investment company hereby notifies the Securities
and Exchange Commission that it registers under and pursuant to the provisions
of Section 8(a) of the Investment Company Act of 1940 and in connection with
such notification of registration submits the following information:


Name:   DEAN WITTER S&P 500 INDEX FUND
        --------------------------------------
        (a Massachusetts Business Trust)

Address of Principal Business Office (No. & Street, City, State,
      Zip Code):

         Two World Trade Center, New York, New York  10048

Telephone Number (including area code):  (212) 392-2550
                                        ------------------------

Name and address of agent for services of process:

Barry Fink, Esq.
- ----------------------------------------------------------------

Two World Trade Center, New York, New York  10048
- ----------------------------------------------------------------

Check Appropriate Box:

             Registrant is filing a Registration Statement pursuant to
             Section 8(b) of the Investment Company Act of 1940 con-
             currently with the filing of Form N-8A:  Yes  X   No

Pursuant to the requirements of the Investment Company Act of 1940, the
registrant has caused this notification of registration to be duly signed on its
behalf in the city of New York and the state of New York on the 18th of June,
1997.

                                                 DEAN WITTER S&P 500 INDEX FUND
                                                               (SEAL)

                                                     By:  /s/ Barry Fink
                                                         ---------------------
                                                              Barry Fink
                                                              Vice President

Attest:   /s/ Carsten Otto
         ------------------------
              Carsten Otto
              Assistant Secretary










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