Architect of the Capitol Appointment Act of 2008 - Requires the Architect of the Capitol (AOC) to be appointed jointly by the Speaker of the House of Representatives, the Majority Leader of the Senate, the Minority Leaders of the House of Representatives and Senate, the chair and ranking Minority Members of the congressional appropriations committees, the chair and ranking Minority Member of the House Committee on House Administration, and the chair and ranking Minority Member of the Senate Committee on Rules and Administration.
Establishes a 10-year term for the AOC, as under current law, but permits additional reappointments.
Repeals the requirement of the Legislative Branch Appropriations Act, 1990 that the AOC be appointed by the President, by and with the advice and consent of the Senate.