Exhibit 99.1

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

I, Peter J. Murphy, Chief Executive Officer of Parlex Corporation (the
"Company"), do hereby certify, pursuant to 18 U.S.C. Section 1350, as
adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to
my knowledge:

      (a)   The Quarterly Report on Form 10-Q of the Company for the period
            ending March 30, 2003, as filed with the Securities and
            Exchange Commission (the "Report"), fully complies with the
            requirements of Section 13(a) or 15(d) of the Securities
            Exchange Act of 1934; and

      (b)   The information contained in the Report fairly presents, in all
            material respects, the financial condition and results of
            operations of the Company.

Dated:  May 12, 2003

/s/ Peter J. Murphy
- ---------------------------------
Peter J. Murphy
Chief Executive Officer