The strike partnership repaid Neil Lennon’s starting selection with second half goals to make the final half hour of the game a lot more comfortable than the first half stalemate played out in teeming rain in Lanarkshire.
David Turnbull tapped in a third after Odsonne Edouard was denied at close range with 15 minutes to play.
The win at the Fountain of Youth Stadium cut Rangers’ earlier extended lead at the top of the SPFL Premiership back down to 16 points, with Celtic three games behind their rivals who they meet next weekend.
Here’s how the Celtic players rated in the win.
Player ratings scale - 10: One of the best performances you've seen. 9: Outstanding. 8: Very good. 7: Good. 6: Average. 5: Poor, 4: Very poor. 3: A terrible day at the office. 2: Abysmal. 1: One of the worst performances you've seen.
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9. David Turnbull - 7
Frustration and finesse in equal measure, the midfielder more than merited his goal in the second half driving on through the rain. Looks to have established himself as a first pick for Neil Lennon. Photo: Alan Harvey - SNS Group
10. Odsonne Edouard - 8
Hasn't scored in domestic open play since the first day of the season but at the heart of all Celtic's attacks and unlucky not to overturn that statistic. Photo: Alan Harvey - SNS Group
11. Leigh Griffiths - 7
On target but the afternoon will be more beneficial for the match minutes and fitness exercise for the striker. Replacements didn't impress so valuable game for Griffiths who also hit the post. Photo: Craig Williamson - SNS Group
12. Neil Lennon - 7
Thankless task against a weakened Accies side. Won as expected but got more minutes into Griffiths and was able to change his system to suit with minimal fuss and give fringe players time. Photo: Alan Harvey - SNS Group