Having been put in to bat in front of their home crowd, the Super Kings posted a total of 192-5 in their 20 overs.
Sanju Samson, coming off a century the previous game, top-scored with 48 from 32 balls while Proteas international Dewald Brevis struck 41 off 29 deliveries.
The Knight Riders were on course in the run-chase when they reached 79-2 in the 10th overs but Afghanistan spinner Noor Ahmed changed the game with a match-winning spell.
Left-arm tweaker Ahmed took 3-21 in four overs as the visitors collapsed to 90-6 in 13 overs.
Ajinkya Rahane (28), Angkrish Raghuvanshi (27) and Sunil Narine (24) gave the Knight Riders the platform after four consecutive defeats but Ahmed had other ideas.
Instead it was the Super Kings that recorded their second victory in five encounters this season.
In a classic Wankhede run-fest on Thursday night, Punjab Kings produced a clinical chase to dismantle Mumbai Indians by seven wickets with 21 balls to spare in IPL 2026's 24th match.
Royal Challengers Bangalore secured their fourth victory of the Indian Premier League season after beating Lucknow Super Giants by five wickets at the M Chinnaswamy Stadium.
Sri Lanka seamer Dilshan Madushanka will join Sunrisers Hyderabad for the remainder of this season's Indian Premier League after England fast bowler Brydon Carse withdrew from the tournament due to injury.
Praful Hinge's four-wicket haul on debut helped Sunrisers Hyderabad to a 57-run win over Rajasthan Royals in the Indian Premier League on Monday night.
