He twice won the Irish PGA Championship and represented Ireland in the 1965 Canada Cup.

His biggest individual success came when winning the 1965 Hennessy Tournament at Clandeboye Golf Club, County Down.

[4] He never won a major tournament outside Ireland but he reached the semi-final of the 1965 News of the World Matchplay, where he lost to the eventual winner, Neil Coles.

[citation needed] Greene was at Portmarnock before moving to Kilcroney Golf and Country Sports Club in 1950, where he replaced Harry Bradshaw.

Soon after moving to Milltown he was joint winner, with Arthur Lees, of the £500 Dubtex Tournament at Portmarnock.