November 10, 2004 (Overland Park, KS) - The Board of Directors of Tortoise Energy Infrastructure Corporation (NYSE: TYG) today declared the company's third quarterly dividend of $0.43 per share, to be distributed on December 1 to stockholders of record on November 19. The dividend is expected to constitute 100% return of capital for tax and financial reporting purposes.

About Tortoise Energy

Tortoise Energy Infrastructure Corporation owns a portfolio of investments in the energy infrastructure sector, primarily pipeline and processing Master Limited Partnerships. Tortoise Energy's goal is to provide its stockholders with a high level of total return with an emphasis on current distributions to stockholders. For more complete information about Tortoise Energy, visit the Company's Web site at www.tortoiseenergy.com or contact Investor Relations at (913) 981-1020.

Tortoise Capital Advisors serves as the advisor to Tortoise Energy Infrastructure Corporation.

Safe Harbor Statement

This press release shall not constitute an offer to sell or a solicitation to buy, nor shall there be any sale of these securities in any state or jurisdiction in which such offer or solicitation or sale would be unlawful prior to registration or qualification under the laws of such state or jurisdiction.

Contact: 
     Tortoise Energy Infrastructure Corporation
     Investor Relations, 913-981-1020
     www.tortoiseenergy.com