In 2006 he made his National Theatre debut directing Market Boy by David Eldridge. In the same year, he directed the National Theatre"s production of Wole Soyinka"s Death and the King"s Horseman, which played in the Olivier Theatre. He created the 2011 production Doctor Dee for the Manchester International Festival, in collaboration with musician Damon Albarn, which was subsequently performed at ENO in 2012.
In 2010 he directed Mozart"s Don Giovanni, also for ENO. In 2013 his production of Tanya Ronder"s play Table launched the new space, The Shed, at the National Theatre.
He subsequently directed James Baldwin"s The Amen Corner at the National Theatre. In March 2015, Norris replaced Nicholas Hytner as Artistic Director of the National Theatre.
During his first season he directed a new version of the medieval play Everyman and the premiere production of a new musical, Wonder.land, with music by Damon Albarn and lyrics and book by Moira Buffini. 2015 also saw the release of his film of London Road, starring Olivia Colman and Tom Hardy.