Having played a few matches for Kent in each season from 1964, he took 104 first-class wickets in the 1967 season at an average of 13.90, including dismissing England opening batsman Geoffrey Boycott for the only pair of his career.
[2] Kent finished as runners-up in the County Championship and won the 1967 Gillette Cup.
In 1968, he was picked for Marylebone Cricket Club (MCC) match against Surrey at Lord's.
Graham was never again to reproduce the kind of form he displayed in 1967, but he remained a useful county performer for Kent for a further nine seasons, taking more than 70 wickets in 1968, 1969 and 1971 and played a part in Kent's 1970 County Championship winning side and in the sides which won six one-day cup competitions between 1970 and 1976.
[1][3] Graham's father Jack played for Northumberland either side of the Second World War and his cousin, Peter Graham, also played for Northumberland and for Yorkshire Cricket Board.