Trade Normalization With Cuba Act

Trade Normalization With Cuba Act - Amends the Foreign Assistance Act of 1971 to repeal the embargo placed upon all trade with Cuba. Prohibits the exercise of certain authorities placed upon the President under the Trading With the Enemy Act. Removes proscriptions against exports to Cuba.

Repeals: (1) the Cuban Democracy Act of 1992; (2) the Cuban Liberty and Democratic Solidarity (LIBERTAD) Act of 1996; and (3) the sugar quota prohibition under the Food Security Act of 1985.

Amends the Internal Revenue Code to declare the denial of foreign tax credit inapplicable to Cuba after enactment of this Act.

Permits: (1) installation and maintenance of telecommunications equipment and facilities in Cuba, including telecommunications services between the United States and Cuba; and (2) travel to and from Cuba by United States citizens or residents.

Requires the United States Postal Service to provide direct mail service to and from Cuba.

Directs the President to negotiate with the Government of Cuba for the purpose of: (1) settling claims of U.S. nationals for the taking of property by such government; and (2) securing the protection of internationally recognized human rights.