Rangers rebounded from their Old Firm derby defeat with a 3-0 defeat of Motherwell at Ibroz, however, remain two points behind Celtic at the top of the Scottish Premier League after their rivals won 3-0 at Dunfermline.
Motherwell were held to a goalless draw by Kilmarnock, but nonetheless moved within six points of Scottish Premier League leaders Rangers, while Hibernian clinched a thrilling 3-2 win over St Mirren.
Goals from Ki Sung-Yeung and Charlie Mulgrew, along with a Stephen Craigan own goal, saw Celtic lift the Scottish Cup with a 3-0 win over Motherwell, manager Neil Lennon's first trophy in charge of The Hoops.
Three first-half goals were enough to give Motherwell a 3-0 victory over St Johnstone at Hampden Park and ensure they progressed to their first Scottish Cup final in 20 years.
Northern Ireland striker Kyle Lafferty, a scorer in 5 September's 1-1 draw in Poland in European Zone Group 3, may miss Wednesday's vital clash in Belfast.