**EXHIBIT 31.1**

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

I, Joseph Feldschuh, President and Chief Executive Officer certify that: 

| 1.     | I have   reviewed this quarterly report on Form 10-Q of Daxor Corporation (the   Registrant);                                                                                                                                                                                                                                                                                                                |
|--------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|   |                                                                                                                                                                                                                                                                                                                                                                                                         |
| 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 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                                                                                               |
|   |                                                                                                                                                                                                                                                                                                                                                                                                         |
|   | (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 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):                                                                                       |
|   |                                                                                                                                                                                                                                                                                                                                                                                                         |
|   | (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 9,2007

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