FORM 6-K
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                        REPORT OF FOREIGN PRIVATE ISSUER

                        PURSUANT TO RULE 13A-16 OR 15D-16
                     OF THE SECURITIES EXCHANGE ACT OF 1934

For the month of November 2003

Commission File Number: 0-49888

                           Randgold Resources Limited
                           --------------------------
                 (Translation of registrant's name into English)

La Motte Chambers, La Motte Street, St. Helier, Jersey, JE1 1BJ, Channel Islands
--------------------------------------------------------------------------------
                   (Address of principal executive offices)

         Indicate by check mark whether the registrant files or will file annual
reports under cover Form 20-F or Form 40-F.

                       Form 20-F X Form     40-F.........

         Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(1):

         NOTE: Regulation S-T Rule 101(b)(1) only permits the submission in
paper of a Form 6-K if submitted solely to provide an attached annual report to
security holders.

         Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(7):

         NOTE: Regulation S-T Rule 101(b)(7) only permits the submission in
paper of a Form 6-K if submitted to furnish a report or other document that the
registrant foreign private issuer must furnish and make public under the laws of
the jurisdiction in which the registrant is incorporated, domiciled or legally
organized (the registrant's "home country"), or under the rules of the home
country exchange on which the registrant's securities are traded, as long as the
report or other document is not a press release, is not required to be and has
not been distributed to the registrant's security holders, and, if discussing a
material event, has already been the subject of a Form 6-K submission or other
Commission filing on EDGAR.

         Indicate by check mark whether by furnishing the information contained
in this Form, the registrant is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                               Yes .....     No X

         If "Yes" is marked, indicate below the file number assigned to the
registrant in connection with Rule 12g3-2(b): 82- ________






         Attached to the Registrant's Form 6-K filing for the month of November
2003, and incorporated by reference herein, is:


   Exhibit No.                               Description
   -----------                               -----------
        1.        Release entitled "Asher elected senior independent director of
                  Randgold Resources," dated October 13, 2003.











                                   SIGNATURES


         Pursuant to the requirements of the Securities Exchange Act of 1934,
the Registrant has duly caused this Report to be signed on its behalf by the
undersigned, thereunto duly authorized.


                              RANDGOLD RESOURCES LIMITED



                              By: /s/ David Haddon
                                  ----------------------------
                                  David Haddon
                                  Group Company Secretary


Dated: November 6, 2003