Exhibit 31.1

            CERTIFICATION BY PRINCIPAL EXECUTIVE OFFICER PURSUANT TO
                       SECURITIES EXCHANGE ACT RULE 13a-14

I, Joseph Feldschuh,M.D., certify that:

      1) I have reviewed this annual report on Form 10-K of Daxor Corporation;

      2) Based on my knowledge, this annual 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 annual report;

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

      4) The registrant's other certifying officers and I are responsible for
      establishing and maintaining disclosure controls and procedures (as
      defined in Exchange Act Rules 13a-14 and 15d-14) for the registrant and
      have:

      a)    designed such disclosure controls and procedures 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 annual
            report is being prepared;

      b)    evaluated the effectiveness of the registrant's disclosure controls
            and procedures as of a date within 90 days prior to the filing date
            of their annual report (the " Evaluation Date"); and

      c)    presented in this annual report our conclusions about the
            effectiveness of the disclosure controls and procedures based on our
            evaluation as of the Evaluation Date;

      5) The registrant's other certifying officers 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 functions):

      a)    all significant deficiencies in the design or operation of internal
            controls which could adversely affect the registrant's ability to
            record, process, summarize and report financial data and have
            identified for the registrant'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 the registrant's
            internal controls; and

      6) The registrant's other certifying officers and I have indicated in this
      annual report whether there were significant changes in internal controls
      or in other factors that could significantly affect internal controls
      subsequent to the date of our most recent evaluation, including any
      coercive actions with regard to significant deficiencies and material
      weaknesses.

      Date: April 15, 2005


      /s/ Joseph Feldschuh, MD
      ------------------------
      Joseph Feldschuh, MD
      President, Principal Executive Officer and
      Chairman of the Board