The game was only seven minutes old when Rene Howe gave the Poppies the lead. The visitors worked the ball well and Spencer Weir-Daley mis-hit a shot at goal which fell to Howe, who controlled and finished low past Mark Scott.
Slough tried to respond, Hicks heading over the bar from a corner, but Wilson Carvalho started to cause the Rebels defence problems. He cut inside from the left and hit a shot toward the near post, which Scott dealt with. Shortly after, Leigh Rumbold was forced off with an injury and replaced by Ryan Hope.
Carvalho twice more almost created a goal for Kettering, bringing a good save out of Scott before beating Sean Fraser and putting in a low cross which Hope cleared.
Warren Harris had the best chance for Slough on 31 minutes, but his fierce low angled drive was saved, and held superbly by Paul Walker in the Poppies goal.
Three minutes later, Kettering extended their lead. This time Weir-Daley got on the scoresheet after Brett Solkhon nodded a free kick down to him, and the Montserrat international applied the finish at the second attempt after Scott had saved his initial effort, though the Slough keeper will be disappointed with the defending and that the ball squirmed past him.
Within two minutes, Slough pulled a goal back to give them hope of a comeback. Nathan Webb capitalised on a missed clearance from Ben Stephens and side footed the ball into the roof of the net from 20 yards.
Slough then had their best spell of the game and Lee Barney could have levelled the scores, but could only shoot over from six yards with an attempted bicycle kick before having an effort correctly ruled out for offside.
But on the stroke of half time, Kettering restored their two goal cushion. The visitors broke quickly and Weir-Daley's low ball into the middle was touched in by Carvalho, who got in front of his marker.
Slough were disappointed to have another goal ruled out on 57 minutes as Warren Harris touched in a low drive from Putman, but from an offside position after Kettering had kicked an effort off the line moments earlier.
Scott Harris replaced Eddie Smith on 64 minutes and should have scored with his first touch, but instead he headed a Ryan Hope free kick wide.
The pace of the game dropped significantly with Slough unable to provide an answer to Kettering, who controlled the tempo of the remainder of the half. Much of the play in the final quarter of the game was in midfield, which suited the visitors who defended well.
Poppies substitute Ben Baker broke on the right and his pass across goal to Weir-Daley had just too much pace on it for the striker. Another chance was spurned as Howe and Baker combined to set up Weir-Daley again, but his shot was deflected wide.
Kettering Town Line up
Paul Walker, Perry Cotton, Chris Carruthers (Dom Langdon), Brett Solkhon (c), Garry Mulligan, Herve Pepe-N’Goma, Wilson Carvalho, Will Grocott (Elliot Sandy), Rene Howe, Spencer Weir-Daley, Ben Stephens (Ben Baker). Subs not used: Liam Canavan, Craig Hill.