After Wright led the club to a top-six position in the Premiership, he guided them to their first Scottish Cup Final after a 2–1 win over Aberdeen. They were victorious in the 17 May, Final meeting with Dundee United at Celtic Park. It was St Johnstone's first major trophy win. Wright signed a new contract with St Johnstone in August 2014. He signed another contract with St Johnstone in October 2015, soon after the club had rejected an approach from Dundee United for Wright.