The production is due to open at the Harold Pinter Theatre on 13 November 2013, with previews from 26 October.
Set in 1950’s London, the Olivier Award-winning play from the man that penned Jerusalem, looks at the sordid and dodgy underworld of rock ‘n’ roll-loving and gangster-run Soho.
Morgan (set to play Skinny), although best known for his television work, has also played Ariel in The Tempest at Shakespeare's Globe, Our Private Life at the Royal Court, All About My Mother at the Old Vic and the title role in Vernon God Little for the Young Vic.
Tom Rhys Harries (playing Silver Johnny) has previously been seen on stage in The History Boys at Sheffield Theatres and Torch Song Trilogy at the Menier Chocolate Factory. His television credits include Parade's End.
Mojo is designed by Ultz, with lighting by Charles Balfour, music by Stephen Warbeck and sound by Simon Baker. It's produced in the West End by Sonia Friedman, who also produced the world-wide smash-hit Jerusalem.
Mojo is booking at the Harold Pinter Theatre until 25 January 2014.