EXHIBIT 31.1

                                  CERTIFICATION

I, FRANCIS R. MCALLISTER, certify that;

1.   I have reviewed this Annual Report on Form 10-K of Stillwater Mining
     Company (Stillwater);

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

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

4.   Stillwater's other certifying officer and I are responsible for
     establishing and maintaining disclosure controls and procedures (as defined
     in Exchange Act Rules 13a-15(e) and 15d-15(e) and internal control over
     financial reporting (as defined in Exchange Act Rules 13a-15(f) and
     15d-15(f)) for Stillwater and have:

     a)   Designed such disclosure controls and procedures, or caused such
          disclosure controls and procedures to be designed under our
          supervision, to ensure that material information relating to
          Stillwater, including its consolidated subsidiaries, is made known to
          us by others within those entities, particularly during the period in
          which this annual report is being prepared;

     b)   Designed such internal control over financial reporting, or caused
          such internal control over financial reporting to be designed under
          our supervision, to provide reasonable assurance regarding the
          reliability of financial reporting and the preparation of financial
          statements for external purposes in accordance with generally accepted
          accounting principles;

     c)   Evaluated the effectiveness of Stillwater's disclosure controls and
          procedures and presented in this report our conclusions about the
          effectiveness of the disclosure controls and procedures, as of the end
          of the period covered by this report based on such evaluation; and

     d)   Disclosed in the report any change in Stillwater's internal control
          over financial reporting that occurred during Stillwater's most recent
          fiscal year that has materially affected, or is reasonably likely to
          materially affect, Stillwater's internal control over financial
          reporting; and

5.   Stillwater's other certifying officer and I have disclosed, based on our
     most recent evaluation of internal control over financial reporting, to
     Stillwater's auditors and the audit committee of Stillwater's Board of
     Directors:

     a)   All significant deficiencies and material weaknesses in the design or
          operation of internal controls over financial reporting which could
          adversely affect Stillwater's ability to record, process, summarize
          and report financial data and have identified for Stillwater's
          auditors any material weaknesses in internal controls; and

     b)   Any fraud, whether or not material, that involves management or other
          employees who have a significant role in Stillwater's internal
          controls.

Dated: March 15, 2004                       /s/ FRANCIS R. McALLISTER
                                            -------------------------
                                            Francis R. McAllister
                                            Chairman and Chief Executive Officer