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 on Form 10-Q of Capital Bank Corporation
(the "Company") for the period ended June 30, 2004 as filed with the Securities
and Exchange Commission on the date hereof (the "Report"), I, B. Grant Yarber,
President and Chief Executive Officer of the Company, certify, pursuant to 18
U.S.C. ss. 1350, as adopted pursuant to ss. 906 of the Sarbanes-Oxley Act of
2002, to my knowledge that:

      (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.


/s/ B. Grant Yarber
- ------------------------
B. Grant Yarber
President and Chief Executive Officer
August 3, 2004

This Certification is being furnished solely to accompany the Report pursuant to
18 U.S.C. ss.1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act
of 2002 and shall not be deemed "filed" by the Company for purposes of Section
18 of the Securities Exchange Act of 1934, as amended, and shall not be
incorporated by reference into any filing of the Company under the Securities
Act of 1933, as amended, or the Securities Exchange Act of 1934, as amended,
whether made before or after the date of this Report, irrespective of any
general incorporation language contained in such filing.

A signed original of this written statement required by Section 906 has been
provided to the Company and will be retained by the Company and furnished to the
Securities and Exchange Commission or its staff upon request.


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