Kennedy made his first-class debut for Lancashire in the 1970 season against the touring Jamaicans.
[2] Kennedy made his List-A debut for Lancashire against Sussex in the 1972 John Player League.
Kennedy represented Lancashire in 147 List-A matches from 1972 to 1982, where he scored 3,903 runs at an average of 30.02.
[4] At the end of the 1982 season, he departed Lancashire after struggling for form over the previous seasons and joined Dorset, where from 1983 to 1987 he represented the county in the Minor Counties Championship, with his final game coming against Cornwall in 1987.
As well as representing Lancashire and Dorset in one-day cricket, he also played 3 matches for a combined Minor Counties team in the 1983 Benson & Hedges Cup.