Initially, Owen carved out a career in television: in 1988 Owen starred as Gideon Sarn in a BBC television production of Precious Bane and the Channel 4 film Vroom before the 1990s saw him become a regular on stage and television in the UK, notably his lead role in the ITV series Chancer followed by an appearance in the Thames Television production of Lorna Doone.

He won critical acclaim for his performances in a 1991 Stephen Poliakoff film called Close My Eyes, about a brother and sister who embark on an incestuous love affair; he subsequently appeared in The Magician, Class of '61, Century, Nobody's Children, An Evening with Gary Lineker, Doomsday Gun, Return of the Native, The Turnaround and then a Carlton production called Sharman, about a private detective. In 1996 he appeared in his first major Hollywood film The Rich Man's Wife alongside Halle Berry before finding international acclaim in a Channel 4 film directed by Mike Hodges called Croupier in 1998. He played the ti