Craig went to St Clement Danes School in DuCane Road, Hammersmith. Craig had two children with Cleo Scott (daughter of the author and political campaigner Erin Pizzey), a son, Keita, born in 1977 and a daughter Amber, born 18 months later. Keita was a paranoid schizophrenic who committed suicide in Wandsworth Prison in 2000. Craig ended his relationship with Cleo shortly after Culture Club's rise to fame in 1982. He is now married to an Italian woman named Lilli and had with her three sons: Milo Emile (b. 1990), Paco Gigi (b. 1992) and Geo Luca (b. 1998).