Trump joined the professional circuit at the start of the 2005–06 snooker season. He won his first professional match and made his first century on 7 November 2005, in the first qualifying round of the 2006 Malta Cup. The match was against Alfie Burden and was played at Pontins in Prestatyn, Wales, several weeks before the main event. He made his first two centuries at the main stages of a ranking event on 11 February 2008, in his last-48 defeat of Joe Swail at the Welsh Open. His 100th career century was recorded in the final of the 2011 China Open against Mark Selby, and his 300th in a last-64 match against Fraser Patrick at the 2014 UK Championship. Trump's 400th century was against Ronnie O'Sullivan in the final of the 2016 European Masters; he compiled three centuries in the match, the third of these being his 400th.