Presidential Succession Act of 2004 - Rewrites provisions concerning presidential succession. Modifies the presidential succession list to include: (1) following the Secretary of Veterans Affairs, the Secretary of Homeland Security on the list; and (2) specified U.S. Ambassadors at the end of such list.
Requires the President-elect, prior to taking office, to file with the Clerk of the House of Representatives and the Secretary of the Senate a notice designating whether the Speaker or the minority leader of the House of Representatives, and whether the majority leader or minority leader of the Senate, should act as President.