Exhibit 99.1

      INFINITY PROPERTY AND CASUALTY ANNOUNCES SHARE REPURCHASE PROGRAM

     BIRMINGHAM, Ala., Jan. 7 /PRNewswire-FirstCall/ -- Infinity Property and
Casualty Corporation (Nasdaq: IPCC) announced today that its Board of Directors
has authorized a share repurchase program whereby the company may repurchase up
to $50 million of the company's outstanding common shares over the next three
years.

     "Strong earnings in the last two years permit us to return a portion of
capital to our shareholders," said Chairman, President and CEO James R. Gober.
Mr. Gober continued, "This repurchase program is consistent with our twin goals
of maximizing shareholder returns and prudently managing our capital, which
includes maintaining appropriate capital levels to support future growth and
current debt and financial strength ratings."

     Shares will be repurchased from time to time as market conditions warrant
and subject to regulatory considerations.

     Infinity Property and Casualty Corporation is a national provider of
personal automobile insurance with an emphasis on nonstandard auto insurance.
Its products are offered through a network of approximately 14,000 independent
agencies. For more information about Infinity, please visit
http://www.ipacc.com .

SOURCE  Infinity Property and Casualty Corporation
    -0-                             01/07/2005
    /CONTACT:  Roger Smith, Chief Financial Officer of Infinity Property and
Casualty Corporation, +1-205-803-8188/
    /Web site:  http://www.ipacc.com