EXHIBIT 31.1

CERTIFICATION PURSUANT TO
SECTION 302 OF THE
SARBANES-OXLEY ACT OF 2002

I, Joseph
Feldschuh, certify that:

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|1. | I have
  reviewed this quarterly report on Form 10-Q
  for the period ended June 30, 2009 of Daxor Corporation (the
  registrant);                                                                                                                                                                                                         
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|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;                       
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|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;                                         
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|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 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 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;                   
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|   | (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;
  and                                                                                                     
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|   | (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                                                                         
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|5. | The
  registrants other certifying officer and I have disclosed, based on our most
  recent evaluation of internal control over
  financial reporting, to the registrants auditors and the audit
  committee of the registrants Board of Directors  (or persons performing the equivalent functions):                                   
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|   | (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 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: August
11, 2009

| |                                     
| | ------------------------------------
| | /s/ Joseph
  Feldschuh, M.D.        
| |                                     
| |                                     
| | Joseph
  Feldschuh, M.D.            
| | President                           
| | Chief
  Executive Officer           
| | Chairman of
  the Board of Directors
| | Principal
  Executive Officer       

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