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**EXHIBIT      31.2**

**CERTIFICATION**

| 1. | I                  have reviewed this quarterly report on Form 10-QSB of Rexahn                  Pharmaceuticals, Inc. |
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| 2. | Based                  on my knowledge, this quarterly 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 quarterly report; |
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| 3. | Based                  on my knowledge, the financial statements, and other financial                  information                  included in this quarterly report, fairly present in all material                  respects                  the financial condition, results of operations and cash flows of                  the small                  business issuer as of, and for, the periods presented in this quarterly                  report; |
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| 4. | The                  small business issuer'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)) for the                  small                  business issuer and have: |
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| 5. | The                  small business issuer's other certifying officer and I have disclosed,                  based on my most recent evaluation, to the small business issuer's                  auditors and the audit committee of the small business issuer's                  board of                  directors (or persons performing the equivalent                  functions): |
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| Dated:                November 14, 2005     |   |
|---------------------------------------------|--------|
|                                        |   |
|                                        |   |
| /s/                Ted T.H. Jeong           |   |
| Ted                T.H. Jeong               |   |
| Chief Financial                Officer |   |

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