The striker had previously missed his last four spot-kicks for the Scottish Premiership side.
The Hoops' top goalscorer has missed his last four attempts from 12 yards, including one in the club's game against Motherwell that proceeded the Old Firm contest.
However, he showed no signs of being put off taking another as he stepped up to take the Bhoys' fifth spot-kick during the shootout knowing that a miss would have meant the game was over.
And while Tom Rogic's penalty would see the Scottish Premiership side knocked out soon after anyway, the Norwegian praised Griffiths for converting his effort, and suggested that it was one of the few bright points from a difficult day.
"There doesn't seem many positives just now but I was pleased for Leigh because he had missed last week," he told the Evening Times.
"It takes a lot of courage to do that and it was a good kick. That will do him good."
While finding the back of the net on a regular basis is what the 25-year-old has done so brilliantly this season - scoring 28 goals in the league alone - he certainly does deserve a lot of credit for not only stepping up, but also for going fifth in the order.
While it could be suggested that he was hoping for it to be all over by then, and thus, was potentially hiding down the order, he would have undoubtedly known what the situation would have been had it got that far and the pressure that was guaranteed to be on.
But he managed to put his recent disappointment behind him and keep the contest going, which is perhaps something his whole team now need to do after missing out on the final.