BEAR STEARNS FUNDS
497, 1998-06-02
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                                                                     Rule 497(e)
                                                       Registration No. 33-84842

                             THE BEAR STEARNS FUNDS

                           Total Return Bond Portfolio
                             Class A, B and C Shares

       Supplement dated May 29, 1998 to Prospectus dated December 24, 1997

On May 14,  1998,  the Board of  Trustees  approved  a change of the  investment
objective  of the  Total  Return  Bond  Portfolio  (the  "Portfolio").  The  new
investment  objective  would be to seek "high  current  income  consistent  with
preservation of capital." This change is subject to approval by the shareholders
of the Portfolio.

A  Special  Meeting  of  shareholders  has been  scheduled  for  July 14,  1998.
Shareholders of record on May 22, 1998 will be entitled to receive notice of the
meeting  and to vote.  If  shareholders  approve  the  change of the  investment
objective, the Portfolio plans to change certain related investment policies and
the name of the Portfolio to "Income Portfolio."


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                                                                     Rule 497(e)
                                                       Registration No. 33-84842


                             THE BEAR STEARNS FUNDS

                           Total Return Bond Portfolio
                                 Class Y Shares

         Supplement dated May 29, 1998 to Prospectus dated July 14, 1997

On May 14,  1998,  the Board of  Trustees  approved  a change of the  investment
objective  of the  Total  Return  Bond  Portfolio  (the  "Portfolio").  The  new
investment  objective  would be to seek "high  current  income  consistent  with
preservation of capital." This change is subject to approval by the shareholders
of the Portfolio.

A  Special  Meeting  of  shareholders  has been  scheduled  for  July 14,  1998.
Shareholders of record on May 22, 1998 will be entitled to receive notice of the
meeting  and to vote.  If  shareholders  approve  the  change of the  investment
objective, the Portfolio plans to change certain related investment policies and
the name of the Portfolio to "Income Portfolio."



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