The PGA of Australia said in a statement Thursday that Nagle, who won the British Open at St. Andrews in 1960, its centenary year, died overnight at a Sydney hospital. It did not give a cause of death.
The Australian golfer was born Kelvin Nagle on Dec. 21, 1920, in Sydney. He won at least one tournament every year for 26 years after turning professional in 1946, collecting 61 victories on the PGA Tour of Australasia and two on the U.S. tour.
His win at St. Andrews came by one stroke over Arnold Palmer, who was attempting to win his third consecutive major that year after taking the Masters and U.S. Open.
Nagle finished second to Gary Player at the 1965 U.S. Open at Bellerive in St. Louis, losing an 18-hole playoff to the South African. Player said then that Nagle was "one of the best short-game players" he had seen.
Nagle won the Australian PGA championship a record six times and was inducted into the World Golf Hall of Fame in 2007.
He also played on the PGA Senior Tour (now Champions Tour) in the United States in 102 events from 1981-1989.
Nagle's other achievements included wins at the 1954 World Cup in Montreal and 1959 World Cup in Melbourne with partner Peter Thomson, a five-time British Open champion.