Foreign Terrorist Military Tribunal Authorization Act of 2001

Foreign Terrorist Military Tribunal Authorization Act of 2001- Authorizes the President to convene military tribunals for the trial of individuals who are charged with offenses arising from the September 11, 2001, terrorist attacks on the United States. Permits such a trial to be held only at a location outside the United States.

Makes this Act applicable to an individual who is not a United States citizen or an alien lawfully admitted to the United States for permanent residence and who is apprehended outside the United States.

Treats as an offense arising from such attacks an offense relating to: (1) planning, authorizing, committing, or aiding those attacks; and (2) harboring any organization or individual that planned, authorized, committed, or aided those attacks.

Bars any military order, executive order, regulation, or other directive of the executive branch from limiting the rights or privileges of any individual under provisions relating to habeas corpus. Allows the privilege of the writ of habeas corpus to be suspended only in cases of rebellion or invasion and only by law.