A Justice can be removed by Congressional impeachment and conviction. However, only one Justice has been impeached by the House (Samuel Chase, in 1805) and he was acquitted in the Senate, making impeachment as a restraint on the court something of a paper tiger. It is the same as any other impeachment.
•The Articles of Impeachment are received from the House.
•The Senate formulates rules and procedures for holding a trial.
•A trial will be held. The Justice will be represented by his lawyers. A select group of House members will serve as "prosecutors." The Chief Justice of the Supreme Court (currently John G. Roberts) will preside with all 100 Senators acting as the jury.
•The Senate will meet in private session to debate a verdict.
•The Senate, in open session, will vote on a verdict. A 2/3 vote of the Senate will result in a conviction.