The son of Sigmund Khevenhüller and nephew of the Carinthian governor (Landeshauptmann) Christoph von Khevenhüller (1503-1557), young George became a councillor at the court of the Habsburg emperor Ferdinand I and his successor Maximilian II.
Georg von Khevenhüller died in Klagenfurt; he is buried in the Saint Jacob's parish church of Villach alongside his uncle Christoph von Khevenhüller.