EXHIBIT 31.1

  INTREPID TECHNOLOGY & RESOURCES, INC. AND SUBSIDIARIES, AN IDAHO CORPORATION

               CERTIFICATION OF PRINCIPAL CHIEF EXECUTIVE OFFICER
                            SECTION 302 CERTIFICATION

I, Dr. Dennis D. Keiser, certify that:

1.   I have reviewed this quarterly report for the quarter ended March 31, 2005
of Intrepid Technology & Resources, Inc.;

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 the small business
issuer as of, and for, the periods presented in this report;

4.   The small business issuer's other certifying officer(s) 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)) for the small
business issuer 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 the small business issuer, including its
consolidated subsidiaries, is made known to us by others within those entities,
particularly during the period in which this report is being prepared;

(b)  omitted;

(c)  Evaluated the effectiveness of the small business issuer'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 this report any change in the small business issuer's internal
control over financial reporting that occurred during the small business
issuer's most recent fiscal quarter (the small business issuer's fourth fiscal
quarter in the case of an annual report) that has materially affected, or is
reasonably likely to materially affect, the small business issuer's internal
control over financial reporting; and

5.   The small business issuer's other certifying officer(s) and I have
disclosed, based on our most recent evaluation of internal control over
financial reporting, to the small business issuer's auditors and the audit
committee of the small business issuer's board of directors (or persons
performing the equivalent functions):

(a)  All significant deficiencies and material weaknesses in the design or
operation of internal control over financial reporting which are reasonably
likely to adversely affect the small business issuer's ability to record,
process, summarize and report financial information; and

(b)  Any fraud, whether or not material, that involves management or other
employees who have a significant role in the small business issuer's internal
control over financial reporting.

Date: May 13, 2005

/s/ Dr. Dennis D. Keiser

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Dennis D. Keiser
President and Chief Executive Officer