<Page>
                                                                    EXHIBIT 99.1

                     CHIEF EXECUTIVE OFFICER CERTIFICATION
                       PURSUANT TO 18 U.S.C. SECTION 1350

    In connection with this amendment No. 1 to the annual report of General
Maritime Corporation (the "Company") on Form 10-K for the period ending
December 31, 2002, as filed with the Securities and Exchange Commission on
the date hereof (the "Report"), the undersigned Chief Executive Officer of
the Company, hereby certifies pursuant to 18 U.S.C. Section 1350 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 result of operations of the
        Company.

    This certification is made solely for the purposes of 18 U.S.C.
Section 1350, and not for any other purpose.



/s/ PETER C. GEORGIOPOULOS
- ------------------------------------
Peter C. Georgiopoulos
Chairman, Chief Executive Officer, and
President