EXHIBIT 31.1

CERTIFICATION

I, FRANCIS R. MCALLISTER, certify that;

1.    I have reviewed this Quarterly Report on Form 10-Q 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 quarterly 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 quarter 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: May 07, 2004                                   /s/ FRANCIS R. McALLISTER
                                                          ----------------------
                                                      Francis R. McAllister
                                                      Chairman and Chief
                                                      Executive Officer

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