DREYFUS BASIC MONEY MARKET FUND INC
497, 1995-08-31
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                                                        September 1, 1995

                   DREYFUS BASIC MONEY MARKET FUND, INC.
            DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
                   SUPPLEMENT TO COMBINED PROSPECTUS
                             DATED JULY 3, 1995
        THE FOLLOWING INFORMATION SUPPLEMENTS INFORMATION CONTAINED IN THE
SECTION OF THE FUNDS' COMBINED PROSPECTUS ENTITLED "HOW TO BUY SHARES."
DREYFUS TELETRANSFER PRIVILEGE
        You may purchase Fund shares (minimum $1,000, maximum $150,000 per
day) without charge by telephone if you have checked the appropriate box and
supplied the necessary information on the Fund's Account Application or have
filed a Shareholder Services Form with the Transfer Agent. The proceeds will
be transferred between the bank account designated in one of these documents
and your Fund account. Only a bank account maintained in a domestic financial
institution which is an Automated Clearing House member may be so designated.
The Fund may modify or terminate this Privilege at any time. No fee is
contemplated for purchases of Fund shares pursuant to this Privilege.
        If you have selected the Dreyfus TELETRANSFER Privilege, you may
request a Dreyfus TELETRANSFER purchase of Fund shares by telephoning
1-800-221-4060 or, if you are calling from overseas, call 1-401-455-3306.
        THE FOLLOWING INFORMATION SUPPLEMENTS AND, TO THE EXTENT RELEVANT,
SUPERCEDES INFORMATION CONTAINED IN THE SECTION OF THE FUNDS' COMBINED
PROSPECTUS ENTITLED "HOW TO REDEEM SHARES."
GENERAL _ IF YOU HAVE PURCHASED FUND SHARES BY CHECK OR BY THE DREYFUS
TELETRANSFER PRIVILEGE AND SUBSEQUENTLY SUBMIT A WRITTEN REDEMPTION REQUEST
TO THE TRANSFER AGENT, THE REDEMPTION PROCEEDS WILL BE TRANSMITTED TO YOU
PROMPTLY UPON BANK CLEARANCE OF YOUR PURCHASE CHECK OR DREYFUS TELETRANSFER
PURCHASE ORDER, WHICH MAY TAKE UP TO EIGHT BUSINESS DAYS OR MORE. IN
ADDITION, THE FUND WILL NOT HONOR REDEMPTION
                      (CONTINUED ON REVERSE SIDE)
CHECKS UNDER THE CHECK REDEMPTION PRIVILEGE AND WILL REJECT REQUESTS TO
REDEEM SHARES BY WIRE OR TELEPHONE OR PURSUANT TO THE DREYFUS TELETRANSFER
PRIVILEGE, FOR A PERIOD OF EIGHT BUSINESS DAYS AFTER RECEIPT BY THE TRANSFER
AGENT OF THE PURCHASE CHECK OR THE DREYFUS TELETRANSFER ORDER AGAINST WHICH
SUCH REDEMPTION IS REQUESTED. THESE PROCEDURES WILL NOT APPLY IF YOUR SHARES
WERE PURCHASED BY WIRE PAYMENT, OR IF YOU OTHERWISE HAVE A SUFFICIENT
COLLECTED BALANCE IN YOUR ACCOUNT TO COVER THE REDEMPTION REQUEST. PRIOR TO
THE TIME ANY REDEMPTION IS EFFECTIVE, DIVIDENDS ON SUCH SHARES WILL ACCRUE
AND BE PAYABLE, AND YOU WILL BE ENTITLED TO EXERCISE ALL OTHER RIGHTS OF
BENEFICIAL OWNERSHIP.
DREYFUS TELETRANSFER PRIVILEGE
        You may redeem Fund shares (minimum $1,000 per day) by telephone if
you have checked the appropriate box and supplied the necessary information
on the Fund's Account Application or have filed a Shareholder Services Form
with the Transfer Agent. The proceeds will be transferred between your Fund
account and the bank account designated in one of these documents. Only such
an account maintained in a domestic financial institution which is an
Automated Clearing House member may be so designated. Redemption proceeds
will be on deposit in your account at an Automated Clearing House member bank
ordinarily two days after receipt of the redemption request or, at your
request, paid by check (maximum $150,000 per day) and mailed to your address.
Holders of jointly registered Fund or bank accounts may redeem through the
Dreyfus TELETRANSFER Privilege for transfer to their bank account not more
than $250,000 within any 30-day period. The Fund reserves the right to refuse
any request made by telephone, including requests made shortly after a change
of address, and may limit the amount involved or the number of such requests.
The Fund may modify or terminate this Privilege at any time. Your account
will be charged $5.00 for each redemption effected pursuant to this
Privilege.
123/124s090195
 




                                                   September 1, 1995


                    DREYFUS BASIC MONEY MARKET FUND, INC.
               DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
         SUPPLEMENT TO COMBINED STATEMENT OF ADDITIONAL INFORMATION
                             DATED JULY 3, 1995



     The following information supplements information contained in the
section of the Funds' combined Statement of Additional Information
entitled "Purchase of Shares".


     Dreyfus TeleTransfer Privilege.  Dreyfus TeleTransfer purchase orders
may be made between the hours of 8:00a.m. and 4:00p.m., New York time, on
any business day that The Shareholder Services Group, Inc., the Fund's
transfer and dividend disbursing agent (the "Transfer Agent"), or the New
York Stock Exchange, as to the Money Fund, or the New York Stock Exchange,
as to the Government Money Fund, are open for business.  Such purchases
will be credited to the shareholder's Fund account on the next bank
business day. To qualify to use the Dreyfus TeleTransfer Privilege, the
initial payment for purchase of Fund shares must be drawn on, and
redemption proceeds paid to, the same bank and account as are designated
on the Account Application or Shareholder Services Form on file.  If the
proceeds of a particular redemption are to be wired to an account at any
other bank, the request must be in writing and signature-guaranteed.  See
"Redemption of Shares--Dreyfus TeleTransfer Privilege."



     The following information supplements information contained in the
section of the Funds' combined Statement of Additional Information
entitled "Redemption of Shares".


     Dreyfus TeleTransfer Privilege.  Investors should be aware that if
they have selected the Dreyfus TeleTransfer Privilege, any request for a
wire redemption will be effected as a Dreyfus TeleTransfer transaction
through the Automated Clearing House ("ACH") system unless more prompt
transmittal specifically is requested.  Redemption proceeds will be on
deposit in the investor's account at an ACH member bank ordinarily two
business days after receipt of the redemption request.  See "Purchase of
Shares--Dreyfus TeleTransfer Privilege."



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