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                                                                    EXHIBIT 31.2

                      CHIEF FINANCIAL OFFICER CERTIFICATION

REQUIRED BY RULES 13a-14 AND 15d-14 UNDER THE SECURITIES EXCHANGE ACT OF 1934,
AS AMENDED

I, Gregory L. Weaver, Chief Financial Officer of Nastech Pharmaceutical Company
Inc., certify that:

1. I have reviewed this quarterly report on Form 10-Q of Nastech Pharmaceutical
Company 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 registrant as
of, and for, the periods presented in this report;

4. The registrant'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 the
registrant and we 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 registrant, 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) 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 the registrant'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;

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

5. The registrant's other certifying officer and I have disclosed, based on our
most recent evaluation, to the registrant's auditors and the audit committee of
registrant's board of directors (or persons performing the equivalent function):

      a) all significant deficiencies in the design or operation of internal
      control over financial reporting which are reasonably likely to adversely
      affect the registrant'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 registrant's internal control
      over financial reporting.

Date: May 9, 2005

                                           By:    /s/ Gregory L. Weaver
                                                  ------------------------------
                                           Name:  Gregory L. Weaver
                                           Title: Chief Financial Officer