CERTIFICATION PURSUANT TO SECTION 906
                                       OF
                             THE SARBANES OXLEY ACT



The undersigned hereby certifies, to the best of his knowledge, that:

     1.   The Form N-CSR of BARON  ASSET FUND (the  "Issuer")  and its  separate
          series for the period ended  September 30, 2003 (the  "Report")  fully
          complies  with  the  requirements  of  Section  13(a)  or 15(d) of the
          Securities Exchange Act of 1934, as applicable; and

     2.   The  information  contained  in the  Report  fairly  presents,  in all
          material respects,  the financial  condition and results of operations
          of the Issuer.



By: /s/ Ronald Baron                              Date:    December 5, 2003
    -------------------------------------
        Ronald Baron
        Chairman and Chief Executive Officer





                      CERTIFICATION PURSUANT TO SECTION 906
                                       OF
                             THE SARBANES OXLEY ACT



The undersigned hereby certifies, to the best of his knowledge, that:

     1.   The Form N-CSR of BARON  ASSET FUND (the  "Issuer")  and its  separate
          series for the period ended  September 30, 2003 (the  "Report")  fully
          complies  with  the  requirements  of  Section  13(a)  or 15(d) of the
          Securities Exchange Act of 1934, as applicable; and

     2.   The  information  contained  in the  Report  fairly  presents,  in all
          material respects,  the financial  condition and results of operations
          of the Issuer.


By:  /s/ Peggy Wong                                  Date:    December 5, 2003
     --------------------------------------
     Peggy Wong
     Treasurer and Chief Financial Officer



A signed  original of this written  statement  has been  provided to Baron Asset
Fund and will be retained by Baron Asset Fund and  furnished  to the  Securities
and Exchange Commission or its staff upon request.