Goals from Kris Commons and Leigh Griffiths were enough for the Bhoys, who dominated proceedings throughout in the first Old Firm clash for nearly three years.

Leigh Griffiths of Celtic celebrates scoring the opening goal during the Scottish League Cup Semi-Final between Celtic and Rangers at Hampden Park on February 1, 2015 © Getty Images

The game began at a frantic pace and it was Griffiths who gave Celtic the lead after 10 minutes when he met Stefan Johansen's cross with a fine header.

Griffiths was at it again minutes later, but this time he could only direct Mikael Lustig's delivery wide of the post.

Commons extended Celtic's advantage shortly after the half-hour mark when he latched onto a loose ball to hammer home from the edge of the box.

Fraser Aird of Rangers tackles Emilio Izaguirre of Celtic during the Scottish League Cup Semi-Final between Celtic and Rangers at Hampden Park on February 1, 2015 © Getty Images

Vrigil van Dijk spurned a great chance to make it 3-0 before Steve Simonsen denied Johansen by saving with his legs.

Griffiths almost grabbed his second of the game after the break when he fizzed in a free kick from around 25 yards.

James Forest linked up nicely with Griffiths with around 10 minutes remaining, but he could only scoop the cutback over the bar as the Bhoys pressed to extend their advantage, but two was enough in the end.