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Section 1 of Article 3 of the Constitution says:
The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish. The Judges, both of the supreme and inferior Courts, shall hold their Offices during good Behavior, and shall, at stated Times, receive for their Services a Compensation which shall not be diminished during their Continuance in Office.
This means that the justices hold office as long as they choose and can only be removed from office by impeachment. The only Justice to be impeached was back in 1805, when Associate Justice Samuel Chase–who was appointed by President George Washington–was accused of allowing his political views to interfere with his decisions and “tending to prostitute” the court and his position. The House of Representatives passed Articles of Impeachment against him, but he was acquitted by the Senate.
Need the Senate.