Curran played Sgt Pete Twamley in the ITV series Ultimate Force, which was broadcast in over 100 countries. Curran left Ultimate Force in 2005 after his character was killed off at the beginning of season 3.
Curran appeared in the BBC television series This Life. Since then, the Scots star has appeared in a number of major film and television roles. Some of his roles have included Rodney Skinner (The Invisible Man), an original character in The League of Extraordinary Gentlemen. To portray the Invisible Man, he donned a special suit that turned him into a walking bluescreen (according to his commentary on the DVD, he looked like a "smurf on acid"). Curran also played vampire roles in Guillermo del Toro's Blade II as Priest and Underworld: Evolution as Markus. In 2006 Curran appeared in the unrated film Red Road. Curran is active in participating in marathons to raise money for charity. He is a frequent and popular participant in the annual Dressed to Kilt event in New York City, run by the organization Friends of Scotland in celebration of Tartan Week. He is also a keen fan of Celtic F.C. In April 2009, Curran revealed to the Daily Record newspaper that he was playing the role of Lieutenant Delcourt, in The Adventures of Tintin: Secret of the Unicorn, which was released in 2011. Curran played the Painter Vincent van Gogh, in the Doctor Who episode "Vincent and the Doctor", written by Richard Curtis. He also made a cameo appearance in "The Pandorica Opens".
Curran played the role of Datak Tarr on the Syfy series Defiance and in 2014, Curran co-starred with Diana Vickers in the thriller film Awaiting. In 2016 Tony signed up to play 'Callum' in the new E4/Netflix original series Crazyhead.
