Constant began his first-class cricket career with Kent in 1961 before moving to Leicestershire in 1965 and playing there until 1968. He was a middle-order batsman who made 67 first-class appearances.
In 1961, Constant started his professional cricket career with Kent.  He then moved to Leicestershire in 1965 and played for them until 1968. During this time, he was a middle-order batsman who appeared in 67 first-class matches.