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 September 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;                 
|   |                                                                                                                                                                                                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                              
|   | (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.                                                                                                                                                                                                                 

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|Date: November
 12, 2009 |  |                                                                                                                            
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|                         |  | /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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