Graham enjoyed most of his tennis success while playing doubles. During his career he won 2 doubles titles. He achieved a career-high doubles ranking of World No. 46 in 1984. He was known for his hard left-handed serve. He was sponsored by Adidas and Dunlop racquets.
|Outcome||No.||Date||Tournament||Surface||Partner||Opponents in the final||Score in the final|
|Runner-up||1.||1983||Auckland, New Zealand||Hard||Laurie Warder|| Chris Lewis
|Winner||1.||1984||Newport, U.S.||Grass||Laurie Warder|| Ken Flach
|Winner||2.||1985||Florence, Italy||Clay||Laurie Warder|| Bruce Derlin
|Runner-up||2.||1985||Washington D.C., U.S.||Clay||Balázs Taróczy|| Hans Gildemeister
|3–6, 6–1, 4–6|