EXHIBIT 32


                            CERTIFICATION PURSUANT TO
                            18. U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


In   connection   with  the  Quarterly   Report  of  Seneca  Foods   Corporation
(the"Registrant")  on Form 10-Q for the period ended  December 27, 2003 as filed
with the Securities and Exchange  Commission on the date hereof (the  "Report"),
we,  Kraig H.  Kayser,  Chief  Executive  Officer  and  Philip G.  Paras,  Chief
Financial  Officer of the Registrant,  certify,  pursuant to 18 U.S.C.  1350, as
adopted  pursuant  to 906 of  the  Sarbanes-Oxley  Act  of  2002,  that,  to our
knowledge:

     (1) The Report fully complies with the requirements of section 13(a) or
         15(d) of the Securities Exchange Act of 1934; and

     (2) The information contained in the report fairly presents, in all
         material respects, the financial condition and results of operations of
         the Registrant.

                                                       /s/Kraig H. Kayser
                                                       -------------------
                                                       Kraig H. Kayser
                                                       Chief Executive Officer
                                                       February 9, 2004


                                                       /s/ Philip G. Paras
                                                       ---------------------
                                                       Philip G. Paras
                                                       Chief Financial Officer
                                                       February 9, 2004