BEAR STEARNS FUNDS
497, 1998-01-15
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                                                                     Rule 497(c)
                                                       Registration No. 33-84842


                             THE BEAR STEARNS FUNDS
                          PRIME MONEY MARKET PORTFOLIO
                        Supplement Dated January 14, 1998
        to the Prospectus Dated June 2, 1997, as Previously Supplemented

The Bear Stearns  Prime Money Market  Portfolio  Prospectus is  supplemented  as
follows:

                 THE DATE OF THE PROSPECTUS IS JANUARY 14, 1998

The  following  replaces  the  third  and  fourth  paragraphs  on  page 1 of the
Prospectus in their entirety:

          "BEAR STEARNS  ASSET  MANAGEMENT  INC.  ("BSAM" or the  "Adviser"),  a
          wholly owned subsidiary of The Bear Stearns Companies, Inc., serves as
          the  Portfolio's  investment  adviser.  As of December  3, 1997,  Bear
          Stearns Funds  Management Inc., the registered  investment  adviser of
          the Portfolio  has changed its name to Bear Stearns  Asset  Management
          Inc.

          BEAR   STEARNS  FUNDS  MANAGEMENT  INC.   ("BSFM"),   a  wholly  owned
          subsidiary of The Bear Stearns  Companies,  Inc., is the administrator
          of  the  Portfolio.  As  of  December  4,  1997,  Bear  Stearns  Funds
          Management  Inc.  formed  a new  corporate  entity  under  the laws of
          Delaware  to  conduct  mutual  fund  administrative  work for The Bear
          Stearns  Funds  and other  affiliated  and  non-affiliated  investment
          companies.

          BEAR  STEARNS  & CO. INC.  ("Bear  Stearns"),  an  affiliate  of BSAM,
          serves as the Portfolio's distributor."

The following 3 paragraphs replace the biographical information contained in the
Prospectus Supplement dated December 12, 1997.

          "The Portfolio is managed by a team consisting of Jeffrey Bagaglio and
          Scott Pavlak.

          Mr.  Bagaglio  joined  Bear  Stearns  Asset  Management  in  1994  and
          specializes  in portfolio  management of  short-term  fixed income and
          separate  account  products.  Prior to this, he was a Senior  Business
          Analyst at Dresdner Bank where he was responsible for foreign exchange
          and  interest  rate  derivative  systems.   Mr.  Bagaglio's  corporate
          treasury   experience  includes  managing  money  market  investments,
          revolving credit lines,  and purchasing and selling  currencies in the
          foreign exchange markets.  Mr. Bagaglio holds a B.A. in Economics from
          Miami University,  and an M.B.A. in Finance from the University of New
          Haven.

          Mr. Pavlak joined Bear Stearns Asset Management in 1991 as a portfolio
          manager and  specializes in short-term and  intermediate  fixed income
          products.   From  1987  to  1990,  he  was  an  officer  at  Beechwood
          Securities,  where he managed  private  portfolios for  high-net-worth
          individuals.  Mr. Pavlak  received his B.S. in Finance from  Fairleigh
          Dickinson University and M.B.A. in Economics and Finance from New York
          University. He is a member of the Fixed Income Analysts Society."

The following  replaces the sixth  paragraph on page 1 of the  Prospectus in its
entirety:

          "Part B (also known as the Statement of Additional Information), dated
          January 14, 1998,  which may be revised from time to time,  provides a
          further  discussion  of  certain  areas in this  Prospectus  and other
          matters which may be of interest to some investors."


<PAGE>

The  following  table  is  added  to the  Prospectus  after  page 3  immediately
following the section titled "Background and Expense Information."

                              FINANCIAL HIGHLIGHTS
                          PRIME MONEY MARKET PORTFOLIO

Contained  below  is  per  share  operating  performance  data  for  each  share
outstanding,  total  investment  return,  ratios to average net assets and other
supplemental  data  for the  period.  This  information  has been  derived  from
information provided in the financial statements.

                                                                  July 14, 1997*
                                                                       through
                                                             September 30, 1997
                                                             ------------------
                                                                    (unaudited)
                                                                     ---------
                                                                      Class Y
                                                                      -------
   PER SHARE OPERATING PERFORMANCE                                    
         Net Asset Value, Beginning of Period                          $1.00
                                                                      ------
         Net investment income(1)                                     0.0121
         Net increase in assets resulting from operations             0.0121
                                                                      ------
         Dividends to shareholders from
           Net investment income                                     (0.0121)
                                                                      ------
         Net asset value, end of period                                $1.00
                                                                      ------
         Total investment return(2)(3)                                 5.72%
                                                                      ------

    RATIOS/SUPPLEMENTAL DATA:
         Net assets, end of period (000's omitted)                   $63,904
         Ratio of expenses to average net assets(1)(3)(4)              0.14%
         Ratio of net investment income to average net
           assets(1)(3)                                                5.57%
         Decrease reflected in above expense ratios and net
           investment income due to waivers and
           reimbursements(3)                                           0.57%


*Commencement of investment operations.
(1) Reflects waivers and reimbursements.
(2) Total investment  return is calculated  assuming a purchase of shares on the
first  day and a sale of  shares  on the last day of each  period  reported  and
includes reinvestment of dividends and distributors.
(3) Annualized.
(4) Without the waiver of advisory fee and  reimbursement  of certain  operating
expenses,  the ratio of expenses  to average  net assets for Prime Money  Market
Portfolio would have been 0.71%  annualized for the period July 14, 1997 through
September 30, 1997.

The Financial  Highlights are not audited.  This  information  should be read in
conjunction with the Prime Money Market Portfolio's financial statements,  which
are incorporated by reference in the Statement of Additional Information.

Please insert this Supplement in the front of your Prospectus. If you would like
to obtain more information, please call Bear Stearns at 800-766-4111.


<PAGE>

                                                                     Rule 497(c)
                                                       Registration No. 33-84842

                             THE BEAR STEARNS FUNDS
                          PRIME MONEY MARKET PORTFOLIO
                        Supplement Dated January 14, 1998
                   to the Statement of Additional Information
                 Dated June 2, 1997, as Previously Supplemented

The  Bear  Stearns  Prime  Money  Market   Portfolio   Statement  of  Additional
Information is supplemented as follows:

     THE DATE OF THE STATEMENT OF ADDITIONAL INFORMATION IS JANUARY 14, 1998

The  following  replaces  the  second  and  third  paragraphs  on  page 1 of the
Statement of Additional Information in their entirety:

          "Bear Stearns  Asset  Management  Inc.  ("BSAM" or the  "Adviser"),  a
          wholly-owned  subsidiary of The Bear Stearns Companies Inc., serves as
          the  Portfolio's  investment  adviser.  As of December  3, 1997,  Bear
          Stearns Funds  Management Inc., the registered  investment  adviser of
          the Portfolio  has changed its name to Bear Stearns  Asset  Management
          Inc.

          Bear   Stearns  Funds   Management  Inc.   ("BSFM"),   a  wholly-owned
          subsidiary of The Bear Stearns Companies Inc., is the administrator of
          the Portfolio.  As of December 4, 1997, Bear Stearns Funds  Management
          Inc.  formed a new  corporate  entity  under the laws of  Delaware  to
          conduct mutual fund administrative work for The Bear Stearns Funds and
          other affiliated and non-affiliated investment companies.

          Bear   Stearns,  an affiliate of BSAM,  serves as  distributor  of the
          Portfolio's shares."

With respect to the section entitled, "MANAGEMENT OF THE FUND," Eileen M. Coyle,
listed  as  Assistant  Secretary  on  page  13 of the  Statement  of  Additional
Information has been replaced in its entirety by:


"Christina LaMastro (27)      Assistant Secretary       Legal  Assistant of Bear
575 Lexington Avenue                                    Stearns  since May 1997;
New York, NY  10022                                     Assistant  Secretary  of
Assistant Secretary                                     BSAM   since    December
                                                        1997;         Compliance
                                                        Assistant   at  Reich  &
                                                        Tang  L.P.   from  April
                                                        1996 through April 1997;
                                                        Legal    Assistant    at
                                                        Fulbright   &   Jaworski
                                                        L.P.   from  April  1993
                                                        through    April   1996;
                                                        student     at    Drexel
                                                        University         prior
                                                        thereto."               


<PAGE>

The following language is added after the last paragraph of the section entitled
"INFORMATION  ABOUT  THE  FUND"  on  page  20 of  the  Statement  of  Additional
Information:

        "As of January 8, 1998 the  following  shareholders  owned,  directly or
        indirectly,  5% or  more  of the  indicated  class  of  the  Portfolio's
        outstanding shares.

                                       Percent of Class Y
Name and Address                       Shares Outstanding
- -----------------                      ------------------

Bear Stearns Securities Corp.          47.5%
FBO 001-00269-20
1 Metrotech Center North
Brooklyn, New York  11201-3859

Custodial Trust Company                12.4%
FBO Bear Stearns Pension Plan
CTC Carnegie Center
Princeton, New Jersey  08540

Bear Stearns Securities Corp.          10.3%
FBO 925-97218-10
1 Metrotech Center North
Brooklyn, New York  11201-3859

Bear Stearns Securities Corp.           6.5%
FBO 025-07745-01
1 Metrotech Center North
Brooklyn, New York  11201-3859

Bear Stearns Securities Corp.           5.3%
FBO 520-55776-11
1 Metrotech Center North
Brooklyn, New York  11201-3859

       A  shareholder who beneficially owns,  directly or indirectly,  more than
       25% of a Portfolio's  voting  securities may be deemed a "control person"
       (as defined in the 1940 Act) of the Portfolio."


<PAGE>

The  following  is  added  after  the last  paragraph  of the  section  entitled
"CUSTODIAN,  TRANSFER AND DIVIDEND  DISBURSING  AGENT,  COUNSEL AND  INDEPENDENT
AUDITORS" on page 21 creating a new section entitled  "FINANCIAL  STATEMENTS" in
the Statement of Additional Information:

                              FINANCIAL STATEMENTS

       "The Portfolio's  Semi-Annual Report to Shareholders for the period ended
       September 30, 1997 is a separate document supplied with this Statement of
       Additional  Information,  and the financial  statements and  accompanying
       notes appearing therein are incorporated by reference into this Statement
       of Additional Information."

Please keep this  Supplement with your Statement of Additional  Information.  If
you  would  like to  obtain  more  information,  please  call  Bear  Stearns  at
800-766-4111.




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