Exhibit 32.1

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

In connection with this Annual Report of Knightsbridge Tankers Limited (the
"Company") on Form 20-F for the annual period ended December 31, 2004, as filed
with the Securities and Exchange Commission (the "SEC") on or about the date
hereof (the "Report"), I, Tor Olav Tr0im, the Principal 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:

     (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.

A signed original of this written statement has been provided to the Company and
will be retained by the Company and furnished to the SEC or its staff upon
request.

Date: May 26, 2005


/s/ Tor Olav Tr0im

Tor Olav Tr0im
Principal Executive Officer

01655.0002 #574642