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 accordance with the rules and regulations of the Securities and
Exchange Commission, the following Certification shall not be deemed to be filed
with the Commission under the Securities Exchange Act of 1934, as amended, or
otherwise subject to the liabilities of Section 18 of the Exchange Act and shall
not be deemed to be incorporated by reference into any filing under the
Securities Act of 1933, as amended, or the Exchange Act, notwithstanding any
general incorporation by reference of the Quarterly Report of GrafTech
International Ltd. (the "Corporation") on Form 10-Q for the quarterly period
ended June 30, 2003, as filed with the Commission on the date hereof (the
"Report"), into any other document filed with the Commission.

        In connection with the Report, I, Craig S. Shular, Chief Executive
Officer of the Corporation, 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 Exchange Act; and

        (2) the information contained in the Report fairly presents, in all
material respects, the financial condition and result of operations of the
Corporation.

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

/s/ Craig S. Shular
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Craig S. Shular
Chief Executive Officer
August 14, 2003