EXHIBIT 32.1

                       CERTIFICATION FURNISHED 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 Pliant Corporation (the "Company") on
Form 10-Q for the  fiscal  quarter  ended  March  31,  2005,  as filed  with the
Securities and Exchange Commission on the date hereof (the "Report"),  I, Harold
C. Bevis, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C.
Section 1350, as adopted  pursuant to Section 906 of the  Sarbanes-Oxley  Act of
2002, that to the best of my 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 Company
     for and as of the end of the periods covered in this Report.

/s/ Harold C. Bevis
-------------------------------------
Harold C. Bevis
Chief Executive Officer
May 10, 2005