The 1985 Dunhill Cup was the first Dunhill Cup. It was a team tournament featuring 16 countries, each represented by three players. The Cup was played 17–20 October at the Old Course at St Andrews in Scotland. The sponsor was the Alfred Dunhill company. The Australian team of David Graham, Graham Marsh, and Greg Norman beat the American team of Raymond Floyd, Mark O'Meara, and Curtis Strange in the final.