Ravindra Jadeja was the wrecker-in-chief for CSK as he claimed 4 wickets giving away 33 runs in is 4-over spell.
Dwayne Smith scored 50 off 28 as Chennai Super Kings set Kings XI Punjab 141-run target.
Captain MS Dhoni scored just five runs before being dismissed by Pravin Tambe.
Rajat Bhatia claimed two wickets in his four-over spell.
Jadeja took CSK out from a precarious situation with his 33-ball-36.
Sanju Samson smashed 2 sixes in his 16-run knock but lost his wicket to Jadeja.
Steven Smith scored 19 off 20 balls before gifting his wicket to Jadeja.