Arne Zwaig (born 6 February 1947) is a Norwegian chess player who holds the title of International Master. He won the Norwegian chess championship in 1964 and 1969. Zwaig's first participation on the Norwegian Chess Olympiad team was in 1962 where he, as an untitled 15-year-old, held Paul Keres to a draw in an inferior rook endgame. He since played on the Norwegian team at the Olympiads in 1964, 1966, 1968, 1972, and 1974.