Exhibit12.1

CERTIFICATION PURSUANT TO SECTION 302(a) OF THESARBANES-OXLEY ACT OF  2002

I, D. MARKBRISTOW, certify that:

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| 1.  | I havereviewed this annual report on Form 20-F of Randgold ResourcesLimited; |

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| 2.  | Based on my knowledge,this report does not contain any untrue statement of a material fact oromit to state a material fact necessary to make the statements made, inlight of the circumstances under which such statements were made, notmisleading with respect to the period covered by this report; |

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| 3.  | Based on my knowledge, the financialstatements, and other financial information included in this report,fairly present in all material respects the financial condition,results of operations and cash flows of the company as of, and for, theperiods presented in this report; |

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| 4.  | The company's other certifyingofficer and I are responsible for establishing and maintainingdisclosure controls and procedures (as defined in Exchange Act Rules13a-15(e) and 15d-15(e)) for the company and have: |

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| a.  | Designed such disclosure controls andprocedures, or caused such disclosure controls and procedures to bedesigned under our supervision, to ensure that material informationrelating to the company, including its consolidated subsidiaries, ismade known to us by others within those entities, particularly duringthe period in which this report is being prepared; |

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| b.  | Evaluated the effectiveness of thecompany's disclosure controls and procedures and presented inthis report our conclusions about the effectiveness of the disclosurecontrols and procedures, as of the end of the period covered by thisreport based on such evaluation; and |

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| c.  | Disclosed in this report any change in thecompany's internal control over financial reporting that occurredduring the period covered by the annual report that has materiallyaffected, or is reasonably likely to materially affect, thecompany's internal control over financial reporting; and |

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| 5.  | The company's other certifyingofficer and I have disclosed, based on our most recent evaluation ofinternal control over financial reporting, to the company'sauditors and the audit committee of the company's board ofdirectors (or persons performing the equivalent functions): |

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| a.  | All significant deficiencies and materialweaknesses in the design or operation of internal control overfinancial reporting which are reasonably likely to adversely affect thecompany's ability to record, process, summarize and reportfinancial information; and |

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| b.  | Any fraud,whether or not material, that involves management or other employeeswho have a significant role in the company's internal controlover financial reporting. |

Date: June 30, 2004

/s/ D. Mark Bristow D. Mark Bristow Chief ExecutiveOfficer

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