DREYFUS INCOME FUNDS INC
497, 1997-05-30
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                                                                  June 1, 1997
                      DREYFUS STRATEGIC INCOME FUND
                        SUPPLEMENT TO PROSPECTUS
                           DATED MARCH 3, 1997
        THE FOLLOWING INFORMATION SUPERSEDES ANY CONTRARY INFORMATION
CONTAINED IN THE FUNDS' PROSPECTUS.
        The Telephone Redemption Privilege is granted automatically unless
you specifically refuse it by checking the applicable "No" box on the Account
Application. The Telephone Redemption Privilege may be established for an
existing account by a separate signed Shareholder Services Form or by oral
request from any of the authorized signatories on the account by calling
1-800-645-6561.
        THE FOLLOWING INFORMATION SUPERSEDES THE INFORMATION CONTAINED IN THE
SECTION OF THE FUND'S PROSPECTUS ENTITLED "APPENDIX _ INVESTMENT TECHNIQUES
_ FORWARD COMMITMENTS."
        FORWARD COMMITMENTS _ The Fund may purchase or sell securities on a
forward commitment, when-issued or delayed delivery basis, which means
delivery and payment take place a number of days after the date of the
commitment to purchase or sell the securities at a predetermined price and/or
yield. Typically, no interest accrues to the purchaser until the security is
delivered. When purchasing a security on a forward commitment basis, the Fund
assumes the rights and risks of ownership of the security, including the risk
of price and yield fluctuations, and takes such fluctuations into account
when determining its net asset value. Because the Fund is not required to pay
for these securities until the delivery date, these risks are in addition to
the risks associated with the Fund's other investments. If the Fund is fully
or almost fully invested when forward commitment purchases are outstanding,
such purchases may result in a form of leverage. The Fund intends to engage
in forward commitments to increase its portfolio's financial exposure to the
types of securities in which it invests. Leveraging the portfolio in this
manner will increase the Fund's exposure to changes in interest rates and
will increase

                       (CONTINUED ON REVERSE SIDE)

the volatility of its returns. A segregated account of the Fund consisting of
permissible liquid assets at least equal at all times to the amount of the
Fund's purchase commitments will be established and maintained at the Fund's
custodian bank. At no time will the Fund have more than 331\3% of its assets
committed to purchase securities on a forward commitment basis.
                                                                    031s060197



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