Douglas first came to public attention following his performance as Boy George in the BBC Two film Worried About the Boy (2010). He also starred in the BBC adaptations of Great Expectations and Christopher and His Kind (both 2011).
In 2013, Booth starred in Carlo Carlei's film adaptation of Romeo and Juliet. In 2014, he appeared in Darren Aronofsky's Noah and Lone Scherfig's The Riot Club, and in 2015, co-starred in The Wachowskis' Jupiter Ascending.