The Bhoys took on Stranraer away from home in the fourth round of the Scottish Cup earlier today.
The Scottish Premiership giants were favourites to win the game at Stair Park, and they did so 3-0.
Griffiths scored twice and Carlton Cole added another, as Celtic progressed to the fifth round of the Scottish Cup.
The Scotland international has admitted that it was not easy to win and has praised Stranraer’s 18-year-old goalkeeper Max Currie.
"It is all about getting into the next round and that first goal calmed everything down,” the 25-year-old told BBC Scotland.
"It is a big ask for an 18-year-old to come in and Max Currie's double save in the first half was outstanding. Hopefully he can keep his feet on the ground and have a big future in the game."
Over the course of the 90 minutes at Stair Park, hosts Stranraer had 36% of the possession, took two shots of which one was on target, and earned one corner.
Visitors Celtic had 64% of the possession, took 16 shots of which 12 were on target, and earned six corners.
Celtic will return to action on Friday evening when they take on Dundee United away from home in the Scottish Premiership.