<DOCUMENT>
<TYPE>EX-32
<SEQUENCE>5
<FILENAME>ex3210q0604.txt
<TEXT>
                                   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 June 26, 2004 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
                                                        August 4, 2004


                                                        /s/ Philip G. Paras
                                                        ---------------------
                                                        Philip G. Paras
                                                        Chief Financial Officer
                                                        August 4, 2004

</TEXT>
</DOCUMENT>
