Siddharth Kaul scalped three wickets while Rashid Khan and Basil Thampi managed two each.
In reply, Mumbai's chase never took off and barring Suryakumar Yadav's 34 and Krunal Pandya's 24 no other Mumbai batsmen reached the double digits as the third best scorer for the Mumbai was Kieron Pollard (9).
Ever after losing the wickets of Even Lewis (5), Ishan Kishan (0) and Rohit Sharma (2) and languishing at 22 for 3 at the end of the Powerplay overs, MI could have still have got over the line if the Mumbai batsmen would have paced their innings wisely.
However, the Rohit Sharma led team fell flat in the course of the chase.
The pitch did not lose its sheen throughout the game as it had plenty of assistance for the bowlers in both innings.
Thampi takes a crucial catch to send back Hardik Pandya.
Kaul then ran through the Mumbai lower order as the Sunrisers ultimately clinched a rather comfortable 31-run win in front of a stunned Wankhede Stadium.
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Earlier in the match after being put into bat, SRH were themselves bowled out for 118 in 18.4 overs. The visitors' batting came a cropper against a determined home side bowling.
Williamson (29 off 21 balls) and Yusuf Pathan (29 off 33 balls) were SRH's top contributors.
The Sunrisers started in encouraging fashion with their in-form skipper Williamson striking Jasprit Bumrah (1/25) for two fours in successive balls in the first over. With star performer Bhuvneshwar Kumar missing the game due to injury, SRH started with Sandeep Sharma who stepped up to the occasion giving away just nine runs in his three overs while also picking up the wicket of the unsafe Evin Lewis early in the innings.
From 20 for two, there was a brief recovery to 44 for two before the visitors lost two more wickets in quick succession.
Earlier in the first innings, put in to bat, the Sunrisers failed to recover from the awful start, of being reduced to 46/4 inside the powerplay, with Shikhar Dhawan (5), Wriddhiman Saha (0), Manish Pandey (16) and Shakib (2) all back in the hut inside the first six overs.
Sunrisers Hyderabad all-rounder batsmen Yusuf Pathan, who started his IPL career with Rajasthan Royals (RR), then moving on to two-time champion Kolkata Knight Riders.
The dismissal of Williamson in the ninth over off Pandya left Sunrisers tottering at 63 for five.