Player of the match David hit eight sixes on Sunday night, while skipper Rajat Patidar scored 48 not out off 19 balls.Â
The pair put on 99 runs off just 35 balls for the unbeaten fourth wicket.
Patidar also hit six sixes and Bengaluru reached 3-250 in 20 overs for their third highest IPL score. Devdutt Padikkal scored 50 off 29 balls.
In reply, Chennai were down to 5-84 before Sarfaraz Khan scored 50 off 25. Despite a middle-order rearguard action, the five-time champions were bowled out in Bengaluru for 207 runs in 19.4 overs.
It was Chennai's fourth consecutive loss to defending champion Bengaluru in the southern derby.
Bengaluru moved to the top of the points' table with successive wins and a healthy run-rate. Rajasthan Royals, Delhi Capitals and Punjab Kings also have two wins each.
Chennai slipped to last place in the 10-team league after three successive defeats.
Earlier on Sunday, skipper Rishabh Pant led a successful chase with 68 not out off 50 balls as Lucknow Super Giants beat Sunrisers Hyderabad by five wickets with one ball remaining for their first win this season.
Pant hit nine fours but no sixes in his first half-century of the season, and opener Aiden Markram scored a 27-ball 45 as Lucknow finished with 5-160 in 19.5 overs in reply to Hyderabad's 9-156.
Mitch Marsh scored 14 off 12 opening the batting for Lucknow, after fellow Australian Travis Head made 7 off 8 at the top of the order for Hyderabad.
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