Green was born in Hexham, Northumberland. He is married to model Vanya Seager, and they have a son, Taylor Robson. In 1996, he set up an independent production company, Coastal Productions, with business partner Sandra Jobling. The company has since produced or co-produced most of Green's television work.
He had a UK number one hit with Jerome Flynn (his co-star in Soldier, Soldier) in 1995 with a version of Unchained Melody, the result of a one-off performance in an episode of the drama. The two subsequently released several successful singles and albums, all re-makes of standards.