A judge of Supreme Court can remain in his/her position up to the age of
years.

They can hold their position for life.

Explanation:

If we abide solely to the regulation of US constitution, After elected by the president the Judges in supreme court can held their position on unlimited term unless they're forcefully removed from misconducts or medical conditions.

Only state judges have a maximum age for their position, but it's all still depended on the states' rules. There's on one general law that can be used for all states.  Most of states imposed a mandatory retirement for their judges as soon as they hit the age of 70.

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