It was their fifth win in 10 matches for the Super Kings while the Mumbai Indians crashed to their second defeat in nine outings after a shocking batting display that saw them collapse to 141 for nine chasing the home team's total of 165 for four.
Only skipper Sachin Tendulkar held his end up despite suffering from dehydration to top score for Mumbai with 45, but the rest of the batsmen collapsed due to questionable shot selection as also some wicket-to-wicket bowling by the Super Kings.
Tendulkar, in fact, retired after making 38 off 28 balls as his discomfort was very apparent. But then he had return to the field after the Mumbai Indians lost six wickets in as many overs.
He lasted just seven deliveries before holing out in the deep and with his departure, the last of Mumbai Indians' hope went up in smoke.
In Image: Thilan Thushara of the Chennai Super Kings is congratulated by team mates, after bowling Shikhar Dhawan of the Mumbai Indians
Scores | Coverage: IPL 2010