
<PAGE>
 
                                                                 Exhibit 3.3(ii)

                               State of Delaware

                       Office of the Secretary of State

                       --------------------------------


          I, EDWARD J. FREEL, SECRETARY OF STATE OF THE STATE OF DELAWARE, DO
     HEREBY CERTIFY THE ATTACHED IS A TRUE AND CORRECT COPY OF THE CERTIFICATE
     OF AMENDMENT OF "POLYMER GROUP, INC.", CHANGING ITS NAME FROM "POLYMER
     GROUP, INC." TO "PGI POLYMER, INC.", FILED IN THIS OFFICE ON THE SIXTEENTH
     DAY OF JUNE, A.D. 1994, AT 3 O'CLOCK P.M.







                                             -----------------------------------
                                             Edward J. Freel, Secretary of State

                                             Authentication:  8530364
                                                       Date:  06-25-97
<PAGE>
 
                           CERTIFICATE OF AMENDMENT
                                      TO
                         CERTIFICATE OF INCORPORATION
                                      OF
                              POLYMER GROUP, INC.

                           *   *   *   *   *   *   *

                        Adopted in accordance with the
                          provisions of (S)242 of the
                        General Corporation Law of the
                               State of Delaware

                           *   *   *   *   *   *   *


          James G. Boyd and Charlotte Crosby, being the Executive Vice President
and Assistant Secretary, respectively, of Polymer Group, Inc., a corporation
duly organized and existing under and by virtue of the General Corporation Law
of the State of Delaware (the "Corporation"), DO HEREBY CERTIFY as follows:

          FIRST:   The Board of Directors of the Corporation adopted the
resolution set forth below proposing the amendment to the Certificate of
Incorporation (the "Amendment") and directed that the Amendment be submitted to
the holders of the issued and outstanding shares of Common Stock of the
Corporation entitled to vote thereon for its consideration and approval:

               RESOLVED, that the board of directors of the Corporation deem it
          advisable and in its best interest to amend its Certificate of
          Incorporation of the Corporation by deleting ARTICLE ONE in its
          entirety and inserting in its place a new ARTICLE ONE to read as
          follows:

                                  ARTICLE ONE
                                  -----------

               The name of the corporation is PGI Polymer, Inc.

          SECOND:  The Amendment as duly adopted in accordance with (S)228 and
(S)242 of the General Corporation Law of the State of Delaware by the holders of
the issued and outstanding shares of the Common Stock of the Corporation
entitled to vote thereon.

                           *   *   *   *   *   *   *
<PAGE>
 
          IN WITNESS WHEREOF, the undersigned, do hereby certify under penalties
of perjury that this Certificate of Amendment is the act and deed of the
undersigned and the facts stated herein are true and accordingly have hereunto
set their hands this 16th day of June, 1994.


                                     POLYMER GROUP, INC.,
                                     a Delaware corporation



                                     By: /s/ James G. Boyd
                                         -----------------------------
                                         James G. Boyd
                                         Executive Vice President
 

ATTEST:

By:  /s/ Charlotte Crosby
     ------------------------
     Assistant Secretary
