Yes, U.S. Supreme Court Justices and all other federal judges can be impeached for “treason, Bribery or other high crimes and misdemeanors.” The U.S. Constitution gives the U.S. House of Representatives the “sole power of impeachment” and the U.S. Senate “the sole Power to try all impeachments.” It takes a two-thirds majority vote in the Senate for a justice to be impeached.