Leg-spinner Karn Sharma was the star performer with the ball for Mumbai, returning excellent figures of 4/16 - the joint best effort by a spinner in an IPL knockout game, while Jasprit Bumrah provided fine support to pick 3/7 in three overs.
Krunal Pandya showed maturity, finishing as Mumbai's top scorer with 45 off 30 balls, while Rohit contributed 26.
Earlier, KKR off were to a disastrous start and were reeling at 31 for five at one stage, with Sharma and Bumrah doing the bulk of damage.
A 56-run partnership ensued between Suryakumar Kumar (31) and Ishank Jaggi (28), before the Mumbai bowlers struck again.
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