Peters has had five children from three relationships. He and his first wife, Janine Martyne, who sang with him on recordings, had two children: a daughter, China Clarke, an Architect, and a son, Peter Clarke, a tattoo Artist. A subsequent relationship with Joanna Jacobs produced two sons: Joe Jacobs, an actor, and Guppy, who died of a kidney tumor at the age of four in 1992. He has a son, Max, with his second wife, Penny; Max played the young Michael Jackson in the West End production of the musical Thriller – Live.