3/31/2004 TYG

Tortoise Energy Infrastructure Corporation Announces Net Asset Value for the Month Ended March 31, 2004

Tortoise Energy Infrastructure Corporation announces that the net asset value per share of the Corporation's common shares as of March 31, 2004, is $23.83. Net asset value is calculated on the last business day of each month and published on the Company's website.

The Corporation is a diversified closed-end management investment company whose investment objection is to seek a high level of total return with an emphasis on current distributions paid to its shareholders. The Corporation invests primarily in securities of Master Limited Partnerships in the energy-infrastructure sector. The common shares of the Corporation are traded on the New York Stock Exchange under the ticker symbol "TYG", and the net asset value per common share as of the most recent month-end is available under the ticker symbol "XTYGX".

The foregoing may contain forward looking statements. There is no assurance that the Corporation's investment objectives will be obtained.

Contact Information: Tortoise Energy Infrastructure Corporation U.S. Bancorp Fund Services, LLC Scott J. Schuenke, 414-765-5043