How many full terms can a member of the US House Of Representatives serve?

Term limits on that position depended on the states until the 22nd Amendment in 1951. Term limits can no longer be set by a state on their Federal Representatives as ruled by the Supreme Court in US Term Limits, Inc. vs. Thornton, 514 U.S. 799 (1995).

Members of the House of Representatives are eligible to serve an unlimited number of two-year terms, as long as the electorate in their state and district continues to vote them into office.