**EXHIBIT 31.2**

**Certification of Chief Financial Officer Under Section 302 of theSarbanes-Oxley Act of 2002**

|           I, Joseph B. Feiten, Chief Financial Officer of Tipperary Corporation certify that:                                                                                                                                                                                                                                                                                        |
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|           1.          I have reviewed this Quarterly Report on Form 10-Q ofTipperary Corporation (“registrant”);                                                                                                                                                                                                         |
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|           2.          Based on my knowledge, this report does not contain anyuntrue 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 thisreport;     |
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|           3.          Based on my knowledge, the financial statements, andother 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 Iare responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rule 13a-15(e) and 15d-15(e)) for the registrant and have:                                                                               |
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|                                                                                                                                                                                                                                                                                                                                                                                                                                   |   (a)       Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed underour 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 report is beingprepared; |
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|                                                                                                                                                                                                                                                                                                                                                                                                                                   |   (b)       Reserved; |
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|                                                                                                                                                                                                                                                                                                                                                                                                                                   |   (c)       Evaluated the effectiveness of the registrant’s disclosure controls and procedures and presented in this report our conclusionsabout 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 theregistrant’s most recent fiscal quarter (the registrant’s fourth fiscal quarter in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, the registrant’s internal control overfinancial reporting; and |
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|           5.          The registrant’s other certifying officer and Ihave 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 equivalentfunctions): |
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|                                                                                                                                                                                                                                                                                                                                                                                                                                   |   (a)       All significant deficiencies and material weaknesses in the design of operation of internal control over financial reporting whichare reasonably likely to adversely effect the registrant’s ability to record, process, summarize and report financial information; and |
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|                                                                                                                                                                                                                                                                                                                                                                                                                                   |   (b)       Any fraud, whether or not material, that involves management or other employees who have a significant role in the registrant’sinternal control over financial reporting. |