For SRH, captain Pat Cummins (3/26) was the most successful bowler while Eshan Malinga got two.
Earlier, Sunrisers Hyderabad scored a competitive 162 for five after being invited to bat.
SRH rode on useful contributions from Abhishek Sharma (40 off 28 balls), Heinrich Klaasen (37), Travis Head (28), Nitish Kumar Reddy (19) and some lusty hitting in the fag end from Aniket Verma (18 off 8 balls) to go past 160-run mark.
Brief Scores:
SRH: 162 for 5 in 20 overs (Abhishek Sharma 40; Will Jacks 2/14).
MI: 166 for 6 in 18.1 overs (Will Jacks 36, Ryan Rickelton 31; Pat Cummins 3/26).