Imran Tahir was the wrecker-in-chief for Delhi Daredevils as he claimed three wickets in his four-over spell giving away 37 runs.
Mumbai Indians captain Rohit Sharma scored 30 off 21 balls before being dismissed by Jaydev Unadkat.
Chasing 174-run target, captain Kevin Pietersen gave a solid start to Delhi Daredevils as he smashed 44 off 31 balls.
Dinesh Karthik scored just seven runs before being dismissed by Marchant de Lange.
Harbhajan Singh celebrates after dismissing Pietersen for 44 runs.
Michael Hussey scored a superb 56 off 33 balls as Mumbai Indians set Delhi Daredevils a 174-run target.
Lendl Simmons, who scored the first IPL-7 century against Kings XI Punjab, hit a 25-ball 35. The West Indian stitched a solid 87-run stand with Hussey for the opening wicket.