WITTER DEAN SELECT GOVERNMENT TRUST
NSAR-U, 1999-02-26
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              Securities and Exchange Commission
                    Washington, D.C.  20549
                          FORM N-SAR
                      Semi-Annual Report
              For Registered Investment Companies




Report for fiscal year ending:  12/31/98

Is this a transition report? (Y/N)  No

Is this an amendment to a previous filing? (Y/N)  No




1.   A.  Registrant Name:  Dean Witter Select Government Trust

     B.  File Number:  811-3718

     C.  Telephone Number:  (212) 392-1724


2.   A.  Two World Trade Center
         New York, NY 10048


3.   Is this the first filing on this form? (Y/N)

          No

4.   Is this the last filing on this form by Registrant? (Y/N)

          No

5.   Is Registrant a small business investment company (SBIC)?
(Y/N)
     [If answer is "Y" (Yes) complete only items 89 through 110.]

          No

6.   Is Registrant a unit investment trust (UIT)? (Y/N)
     [If answer is "Y" (Yes) complete only items 111 through
132.]

          Yes


<PAGE>




For perod ending:  12/31/98

File Number:  811-3718



118. State the number of series existing at the end of the period
that had
     securities registered under the Securities Act of 1933.

          12



119. State the number of new series for which registration
statements under the
     Securities Act of 1933 became effective during the period.

          0


120. State the total value of the portfolio securities on the
date of deposit
     for the new series included in item 119 ($000's omitted).

          0

121. State the number of series for which a current prospectus
was in existence
     at the end of the period.

          1

122. State the number of existing series for which additional
units were
     registered under the Securities Act of 1933 during the
current period.

          0




<PAGE>



For period ending:  12/31/98

File number:  811-3718



123. State the total value of the additional units considered in
answering item
     122 ($000's).

          0

124. State the total value of units of prior series that were
placed in the
     portfolios of subsequent series during the current period
(the value of
     these units is to be measured on the date they were placed
in the
     subsequent series) ($000's omitted).

          $ 0


125. State the total dollar amount of sales loads collected
(before
     reallowances to other brokers or dealers) by Registrant's
principal
     underwriter and any underwriter which is an affiliated
person of the
     principal underwriter during the current period solely from
the sale of
     units of all series of Registrant (000's omitted).

          $ 51


126. Of the amount shown in item 125, state the total dollar
amount of sales
     loads collected from secondary market operations in
Registrant's units
     (include the sales loads, if any, collected on units of a
prior series
     placed in the portfolio of a subsequent series.) ($000's
omitted).

          $ 51



127. List opposite the appropriate description below the number
of series whose
     portfolios are invested primarily (based upon a percentage
of NAV) in each
     type of security shown, the aggregate total assets at market
value as of a
     date at or near the end of the current period of each such
group of series
     and the total income distributions made by each such group
of series
     during the current period (excluding distributions of
realized gains, if
     any):


                         Number of           Total Assets       
Total Income
                         Series              ($000's            
Distributions
                         Investing           omitted)           
($000's
                                                                
omitted)


A. U.S. Treasury         10                  $ 32, 738          
$ 2,367
   direct issue


B. U.S. Government        2                  $ 43,145           
$ 2,734
   agency


C. State and municipal
   tax-free


D. Public utility debt


E. Brokers or dealers
   debt or debt of
   brokers' or dealers'
   parent


F. All other corporate
   intermed. & long-term
   debt


G. All other corporate
   short-term debt


H. Equity securities of
   brokers or dealers or
   parents of brokers or
   dealers


I. Investment company
   equity securities


J. All other equity
   securities


K. Other securities
   -Treas & MF

L. Total assets of all   12                  $ 75, 883          
$ 5,101
   series of registrant




<PAGE>


For period ending:  12/31/98

File number:   811-3718



128. Is the timely payment of principal and interest on any of
the portfolio
     securities held by any of Registrant's series at the end of
the current
     period insured or guaranteed by an entity other than the
issuer? (Y/N)
     [If answer is "N" (No), go to item 131.]

          No


129. Is the issuer of any instrument covered in item 128
delinquent or in
     default as to payment of principal or interest at the end of
the current
     period? (Y/N)
     [If answer is "N" (No), go to item 131.]



130. In computations of NAV or offering price per unit, is any
part of the
     value attributed to instruments identified in item 129
derived from
     insurance or guarantees? (Y/N)



131. Total expenses incurred by all series of Registrant during
the current
     reporting period ($000's omitted).
          $ 277


132. List the "811" (Investment Company Act of 1940) registration
number for
     all Series of Registrant that are being included in this
filing:

          None






<PAGE>


                                SIGNATURES


This report is signed on behalf of the registrant in the City of
New York in
the State of New York on the 26th day of February, 1999.

                                        Dean Witter Reynolds,
Inc.

                                        By:     Michael D. Browne
                                        Name:   Michael D. Browne
                                        Title:  First Vice
President




Witness: Thomas Hines
Name:    Thomas Hines  
Title:   First Vice President




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