Walter Smith's side beat Neil Lennon's men 2-1 after extra time to retain the trophy they had lifted against St Mirren 12 months earlier.
Steven Davis opened the scoring but Joe Ledley equalised before half-time and it was still 1-1 after 90 minutes. Nikica Jelavic grabbed the winner eight minutes into extra time with a shot that went in off the post.
Match highlights on the SPFL YouTube channel
Winning line-up
Neil Alexander
Steven Whittaker
David Weir
Madjid Bougherra
Sasa Papac
Steven Naismith
Maurice Edu
Steven Davis
Gregg Wylde
Kyle Lafferty
Nikica Jelavic
Substitutes
Allan McGregor
Vladimir Weiss
Kyle Hutton
David Healy
El Hadji Diouf