ALLIANCE GLOBAL STRATEGIC INCOME TRUST INC
497, 1996-08-16
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Filed pursuant to Rule 497(e).
File Nos. 33-63797 and 811-07391.
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[LOGO]                       ALLIANCE GLOBAL STRATEGIC INCOME
                                     TRUST

________________________________________________________________

                                     July 11, 1996

Supplement to Prospectus dated January 2, 1996 (as Amended on
February 29, 1996)

         This prospectus supplement sets forth unaudited per-
share information for Alliance Global Strategic Income Trust,
Inc. as of and for the respective periods ended April 30, 1996.
Unaudited financial statements and related notes as of such date
have also been added to the Statement of Additional Information.

         A new section having the following heading and
containing the following information should be added on page 2 of
the current prospectus immediately following "Expense
Information."

                      FINANCIAL HIGHLIGHTS

     Selected Data For A Share Of Capital Stock Outstanding
                     Throughout Each Period

                            CLASS A           CLASS B          CLASS C
                      January 9, 1996(c) March 25, 1996(f)March 25, 1996(f)
                              to                to               to
                        April 30, 1996    April 30, 1996   April 30, 1996,
                          (unaudited)       (unaudited)      (unaudited)   
                       ________________   ______________  ________________

Net asset value, beginning
 of period                     $10.00           $9.97             $9.97

INCOME FROM INVESTMENT
 OPERATIONS
Net investment income(a)(d)       .27             .09               .09
Net realized and unrealized
 gain on investments and
 foreign currency
 transactions(a)                  .27             .27               .27
                                ______          ______            _____

Net increase in net asset
 value from operations            .54             .36               .36



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                                ______          ______            _____

LESS:  DISTRIBUTIONS
Dividends from net
 investment income(a)            (.31)           (.10)             (.11)
                                ______          ______            ______

Total distributions              (.31)           (.10)             (.11)
                                ______          ______            _____

Net asset value, end
 of period                     $10.23          $10.23            $10.22
                                ======          ======            ======

TOTAL RETURN
Total investment return
 based on net asset
 value(b)                        5.47%           2.75%             2.75%
                                ======          ======            ======

RATIOS/SUPPLEMENTAL DATA
Net assets, end of
 period                      $1,643,833        $73,494             $102
Ratio to average
  net assets of:
Expenses, net of
 reimbursements                  1.90%(e)        2.60%(e)          2.60%(e)
Net investment income,
 net of waivers/ 
 reimbursements                  8.97%(e)        8.14%(e)          8.14%(e)
Portfolio turnover
  rate                            179%             179%              179%

___________________

(a) Based on average weighted shares outstanding.

(b) Total investment return is calculated assuming an initial
    investment made at the net asset value at the beginning of
    the period, reinvestment of all dividends and distributions
    at net asset value during the period, and redemption on the
    last day of the period.  Initial sales charges or contingent
    deferred sales charges are not reflected in the calculation
    of total investment return.  Total investment return
    calculated for a period of less than one year is not
    annualized.

(c) Commencement of operations.

(d) Net of expenses reimbursed by the Adviser.



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(e) Annualized.

(f) Commencement of distribution.


















































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