SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT

     Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934

        Date of Report (Date of earliest event reported): April 27, 2004

                   INFINITY PROPERTY AND CASUALTY CORPORATION
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             (Exact name of registrant as specified in its charter)

      Ohio                        000-50167                      03-0483872
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 (State or other             (Commission File No.)             (IRS Employer
 jurisdiction of                                             Identification No.)
 incorporation)

                 2204 Lakeshore Drive, Birmingham, Alabama 35209
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               (Address of principal executive offices) (Zip Code)

                                 (205) 870-4000
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              (Registrant's telephone number, including area code)


Item 7. Financial Statements, Pro Forma Financial Information and Exhibits.

      (c)   Exhibits

      99.1  Press release dated April 27, 2004 announcing results for the
            quarter ended March 31, 2004.

            The information included in this report shall not be deemed "filed"
            for the purpose of Section 18 of the Securities Exchange Act of
            1934, nor shall it be deemed incorporated by reference in any filing
            under the Securities Act of 1933.


                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the
Registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.

                                         INFINITY PROPERTY AND CASUALTY
                                                CORPORATION

Date: April 27, 2004                     By: /s/ Samuel J. Simon
                                             --------------------------------
                                         Name:  Samuel J. Simon
                                         Title: Senior Vice President,
                                                General Counsel and Secretary