Celtic took the lead within the opening 30 seconds after Andrew Driver's poor clearance was collected by Andreas Hinkel.
But fellow midfielder Andrew Driver is expected to return to training after almost two weeks out and be in contention this weekend.
Early in the second half, Andrew Driver nodded in from close range as Motherwell failed to deal with a Robbie Neilson long throw-in.
Their first real chance came after 15 minutes with a slick passing move resulting in Gardner heading Andrew Driver's cross straight at keeper Manuel Neuer.
Lukas Jutkiewicz shot wide from 25 yards after more good link-up play by Sutton, while Yassin Moutaouakil got back well to prevent Andrew Driver capitalising on a Hearts break.
Andrew Driver took on Chris Hogg on the edge of the box and fired in a powerful drive that Ma-Kalambay turned away for a corner at his near post.
Hearts had the first opportunity of the match when Grant Munro fouled Christian Nade on the edge of the box, but Andrew Driver fired the resulting free-kick over the bar.
Andrew Driver's persistence inside the box saw the ball fall into Stewart's path 20 yards out and he shot powerfully into the bottom corner after his initial effort had been blocked.
"There are a few people perhaps that require or deserve the recognition: Andrew Driver, Lee Wallace, Eggert Jonsson, both Thomsons (Jason and Craig), Arvydas Novikovas, David Templeton, and Scott Robinson, " he said.
Andrew Driver sent in a corner from the left, which was cleared only as far as Santana, who beat Carey on the right wing and sent in a cross which Zaliukas headed powerfully past Paul Gallacher.
Ismael Bouzid, who had been booked in the first half, avoided a second yellow card after tripping Barry Douglas early in the second half and the defender was soon withdrawn to be replaced by Andrew Driver.
Hearts should have taken the lead after 24 minutes when Elliott pulled the ball back into the path of the unmarked Taouil, who sliced wide from 12 yards, injuring himself in the process before being immediately replaced with Andrew Driver.
Boruc had to move sharply to turn around a Jose Goncalves header as half-time approached then Caldwell was called into action to prevent an Andrew Driver shot from crossing the line after the Polish keeper had palmed the ball goal-bound.
BBC: SPORT | Football | Scottish Premier | Celtic 2-1 Hearts
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