BEAR STEARNS COMPANIES INC
424B3, 1997-03-24
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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     PRICING SUPPLEMENT NO. 33                               Rule 424(b)(3)
     DATED: March 21, 1997                               File No. 333-17985
     (To Prospectus dated January 22, 1997
     and Prospectus Supplement dated January 22, 1997)


                                 $5,434,620,162
                         THE BEAR STEARNS COMPANIES INC.
                           MEDIUM-TERM NOTES, SERIES B
             WITH MINIMUM MATURITY OF NINE MONTHS FROM DATE OF ISSUE

      Principal Amount:            Floating Rate Notes  Book Entry Notes
      $60,000,000                  [x]                  [x]

      Original Issue Date:         Fixed Rate Notes     Certificated Notes
      March 26, 1997               [_]                  [_]


      Maturity Date: 
      March 26, 1998
      Option to Extend Maturity:   No  [x]

                                   Yes [_]   Final Maturity Date:

                                           Optional           Optional
                         Redemption        Repayment          Repayment
      Redeemable On      Price(s)          Date(s)            Price(s)
      -------------      --------          -------            --------

      N/A                N/A               N/A                N/A

     Applicable Only to Fixed Rate Notes:
     -----------------------------------

     Interest Rate:  

     Applicable Only to Floating Rate Notes:
     --------------------------------------

      Interest Rate Basis:                  Maximum Interest Rate: N/A

      [_]  Commercial Paper Rate            Minimum Interest Rate: N/A

      [_]  Federal Funds Rate               Interest Reset Date(s): *

      [_]  Treasury Rate                    Interest Reset Period: Monthly

      [_]  LIBOR Reuters                    Interest Payment Date(s): **

      [x]  LIBOR Telerate

      [_]  Prime Rate                       Interest Payment Period: Monthly

      [_]  CMT Rate

      Initial Interest Rate: ***

      Index Maturity:  One Month

      Spread (plus or minus): -0.02%
                              
     -------------------------

     *    4/28/97, 5/27/97, 6/26/97, 7/28/97, 8/26/97, 9/26/97, 10/27/97,
          11/26/97, 12/26/97, 1/26/98 and 2/26/98.

     **   4/28/97, 5/27/97, 6/26/97, 7/28/97, 8/26/97, 9/26/97, 10/27/97,
          11/26/97, 12/26/97, 1/26/98, 2/26/98 and 3/26/98.

     ***  One month LIBOR as of March 24, 1997, minus 2 basis points.

     The distribution of Notes will conform to the requirements set forth
     in Rule 2720 of the NASD Conduct Rules.


     NYFS04...:\25\22625\0122\1824\GGG3247R.330


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