Works the same as for everyone else. Under Article I of the U.S. Constitution, the House of Representatives has the power to impeach and the Senate the power to hold a trial to determine whether removal is appropriate. The House can impeach a judge with a simple majority vote. However, a judge may only be removed from office following a trial and a vote to convict by a two-thirds majority of the Senate. Historically, impeachment has been limited to cases of criminal misconduct or egregious ethical situations, like undisclosed conflicts of interest.