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 25, 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
                                                         February 3, 2005


                                                         /s/ Philip G. Paras
                                                         ---------------------
                                                         Philip G. Paras
                                                         Chief Financial Officer
                                                         February 3, 2005