Exhibit 32.1

                            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 Culp, Inc. (the "Company") on
Form 10-Q for the period ended January 30, 2005 as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I, Robert G. Culp,III,
Chairman of the Board and 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 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 result of operations of the
Company.


/s/ Robert G. Culp, III

Chairman of the Board and
Chief Executive Officer

March 10, 2005

            A signed original of this written statement required by Section 906,
or other document authenticating, acknowledging, or otherwise adopting the
signature that appears in typed form within the electronic version of this
written statement required by Section 906 has been provided to Culp, Inc. and
will be retained by Culp, Inc. and furnished to the Securities and Exchange
Commission or its staff upon request.