ALLIANCE GLOBAL STRATEGIC INCOME TRUST INC
24F-2NT, 1996-12-23
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             U.S. SECURITIES AND EXCHANGE COMMISSION
                     Washington, D.C. 20549

                           FORM 24F-2
                Annual Notice of Securities Sold
                     Pursuant to Rule 24f-2


1.  Name and address of issuer:

    Alliance Global Strategic Income Trust, Inc.
    1345 Avenue of the Americas
    New York, New York 10105

2.  Name of each series or class of funds for which this notice
    is filed:

    Class A
    Class B
    Class C

3.  Investment Company Act File Number:  811-07391

    Securities Act File Number:  033-63797


4.  Last day of fiscal year for which this notice is filed:

    October 31, 1996    


5.  Check the box if this notice is being filed more than 180
    days after the close of the issuer's fiscal year for purposes
    of reporting securities sold after the close of the fiscal
    year but before termination of the issuer's 24f-2
    declaration:
                                                             [  ]


6.  Date of termination of issuer's declaration under rule 24f-
    2(a)(1), if applicable (see instruction A.6):


7.  Number and amount of securities of the same class or series
    which had been registered under the Securities Act of 1933
    other than pursuant to rule 24f-2 in a prior fiscal year, but
    which remained unsold at the beginning of the fiscal year:

    -0-
    $-0-




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8.  Number and amount of securities registered during the fiscal
    year other than pursuant to rule 24f-2:

    -0-
    $-0-

9.  Number and aggregate sale price of securities sold during the
    fiscal year:

    406,535
    $4,175,520

10. Number and aggregate sale price of securities sold during the
    fiscal year in reliance upon registration pursuant to rule
    24f-2:

    406,535
    $4,175,520

11. Number and aggregate sale price of securities issued during
    the fiscal year in connection with dividend reinvestment
    plans, if applicable (see instruction B.7):

    4,364
    $45,332


12. Calculation of registration fee:

(i)   Aggregate sale price of securities sold
      during the fiscal year in reliance on
      rule 24f-2 (from Item 10):               $4,175,520       

(ii)  Aggregate price of shares issued in
      connection with dividend reinvestment
      plans (from Item 11, if applicable):     + $45,332        

(iii) Aggregate price of shares redeemed or
      repurchased during the fiscal year (if
      applicable):                             - $675,439       

(iv)  Aggregate price of shares redeemed or
      repurchased and previously applied as a
      reduction to filing fees pursuant to
      rule 24e-2 (if applicable):              + -0-            

(v)   Net aggregate price of securities sold
      and issued during the fiscal year in
      reliance on rule 24f-2 [line (i), plus
      line (ii), less line (iii), plus line
      (iv)] (if applicable):                    $3,545,413      



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(vi)  Multiplier prescribed by Section 6(b)
      of the Securities Act of 1933 or other
      applicable law or regulation (see
      instruction C.6):                        x 1/3300         

(vii) Fee due [line (i) or line (v)
      multiplied by line (vi)]:                 $1,075
                                               =================


Instruction:  Issuers should complete line (ii), (iii), and (v)
only if the form is being filed within 60 days after the close of
the issuer's fiscal year.  See Instruction C.3.


    13.  Check box if fees are being remitted to the Commission's
         lockbox depository as described in section 3a of the
         Commission's Rules of Informal and Other Procedures
         (17 CFR 202.3a).    

                                                              [X]


    Date of mailing or wire transfer of filing fees to the
Commission's lockbox depository:

December 13, 1996


                            SIGNATURE

This report has been signed below by the following persons on
behalf of the issuer and in the capacities and on the dates
indicated.

By (Signature and Title)* /s/ Edmund P. Bergan, Jr.                 
                          Edmund P. Bergan, Jr.
                          Secretary

Date: December 20, 1996

EXHIBIT: Opinion of Seward & Kissel

*Please print the name and title of the signing officer below the
signature.



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                      SEWARD & KISSEL
                  One Battery Park Plaza
                   New York, N.Y.  10004

                 Telephone: (212) 574-1200
                 Facsimile: (212) 480-8421


                                  December 23, 1996



Alliance Global Strategic Income Trust, Inc.
1345 Avenue of the Americas
New York, New York 10105


Dear Sirs:

         We have acted as counsel for Alliance Global
Strategic Income Trust, Inc. a Maryland corporation (the
"Company"), in connection with the Company's Rule 24f-2
Notice to be filed pursuant to Rule 24f-2 under the
Investment Company Act of 1940, as amended, to report the
sale of 406,535 shares of common stock of the Company, par
value $.001 per share, during the fiscal year of the Company
ended October 31, 1996, in reliance upon that Rule and
pursuant to the registration of an indefinite number of such
shares under the Securities Act of 1933, as amended.

         As counsel for the Company, we have examined and
relied upon such records of the Company and other documents
and certificates as to factual matters as we have deemed to
be necessary to render the opinion set forth below.

         Based on that examination we are of the opinion
that the 406,535 shares so sold in reliance upon Rule 24f-2
were duly authorized and legally issued and, upon their
issuance, were fully paid and nonassessable shares of common
stock of the Company under the laws of the State of
Maryland.

         Our opinion above stated is expressed as members of
the bar of the State of New York.



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         We hereby consent to the filing of this opinion
with the Securities and Exchange Commission as an exhibit to
the above-referenced Rule 24f-2 Notice.

                                       Very truly yours,


                                       /s/ Seward & Kissel












































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