ALLIANCE MORTGAGE SECURITIES INCOME FUND INC
497, 2000-08-07
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This is filed pursuant to Rule 497(e).
         Alliance Mortgage Securities Income Fund, Inc.
         (File Nos. 2-85921 and 811-03829)
         Alliance Limited Maturity Govenment Fund, Inc.
         (File Nos. 33-47031 and 811-06627)


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ALLIANCE CAPITAL [LOGO] (R)

              THE ALLIANCE BOND FUNDS
              ALLIANCE MORTGAGE SECURITIES INCOME FUND, INC.
              ALLIANCE LIMITED MATURITY GOVERNMENT FUND, INC.

_________________________________________________________________

Supplement dated August 4, 2000 to the Prospectus and Application
dated March 1, 2000 of The Alliance Bond Funds.

On July 19-20, 2000, the Boards of Directors of Alliance Mortgage
Securities Income Fund, Inc. ("Mortgage Securities") and Alliance
Limited Maturity Government Fund, Inc. ("Limited Maturity")
approved the acquisition of each fund by Alliance U.S. Government
Portfolio, a series of Alliance Bond Fund, Inc. ("U.S.
Government").  Mortgage Securities and Limited Maturity will
present the acquisitions, as applicable, to their stockholders
for approval at a special stockholders' meeting that is planned
for November 9, 2000.

If stockholders approve the acquisitions, U.S. Government will
acquire the assets and assume the liabilities of Mortgage
Securities and Limited Maturity.  The closing date of the
acquisitions is contemplated for the fourth quarter of this year
or the first quarter of 2001.

Stockholders of Mortgage Securities and Limited Maturity need not
act with respect to the acquisitions at this time.  Proxy
materials will be mailed in September to stockholders of Mortgage
Securities and Limited Maturity of record as of August 25, 2000.
These materials will describe the acquisitions in detail,
including any effect on expense ratios.  If a stockholder buys
fund shares after that date, that stockholder will not be
entitled to vote those shares on the fund's acquisition but may
request a copy of the proxy materials.

Both acquisitions are expected to be tax-free transactions.

THE ACQUISITIONS WILL NOT TRIGGER ANY SALES CHARGES.

Mortgage Securities and Limited Maturity plan to cease offering
their shares effective August 14, 2000.

        _________________________________________________

You should retain this Supplement with your Prospectus for future
reference.

(R) This is a registered mark used under license from the owner,
Alliance Capital Management L.P.


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