Military Voting Rights Act of 2001

Military Voting Rights Act of 2001 - Amends the Soldiers' and Sailors' Civil Relief Act of 1940 to require that a person who is absent from a State in compliance with military or naval orders shall not, solely by reason of that absence, for purposes of voting for an office of the United States or of a State, be deemed to have: (1) lost a residence or domicile in that State; (2) acquired a residence or domicile in any other State; or (3) become resident in or a resident of any other State.

Amends the Uniformed and Overseas Citizens Absentee Voting Act to require States, with respect to elections for State and local offices, to permit absentee voting by uniformed services members.