Skipper David Warner top-scored with a 34-ball 49 while Shikhar Dhawan made 48 off 43 deliveries.
For Mumbai Indians, Jasprit Bumrah picked up three wickets giving away 24 runs from his four overs.
Brief Scores:
Sunrisers Hyderabad: 158 for eight in 20 overs (David Warner 49, Shikhar Dhawan 48; Jasprit Bumrah 3/24).