Green's first public performances were with his childhood friend Charlie Watts in the late 1950s. While performing with Humphrey Lyttelton from 1963 to 1983, Green also played with the Don Rendell–Ian Carr band in the early 1960s, and went on to play with Stan Tracey. In the early 1980s, Green led his own group, Fingers, featuring Lol Coxhill, Bruce Turner and Michael Garrick. Green regularly backed visiting American stars at Ronnie Scott's Jazz Club, including Coleman Hawkins, Ben Webster, Roland Kirk and Sonny Rollins. Green has also performed and recorded with Dave Newton, Didier Lockwood and Spike Robinson.
