Batting first Daredevils scored 178 for five which CSK surpassed with two balls to spare.
Dwayne Smith was the top scorer with 79 off 51 balls while Suresh Raina and Brendon McCullum scored 47 not out and 32 respectively.
Brief Scores: Delhi Daredevils 178/5 (Dinesh Karthik 51, Murali Vijay 35, Ravindra Jadeja 1/23)
CSK 181/2 in 19.4 overs (Dwayne Smith 79, Suresh Raina 47 no, Brendon McCullum 32). CSK beat DD by 8 wkts.