Opting to bowl first, right-arm pacer Tye, playing his first IPL match, returned with impressive figures of 5 for 17 from his four overs to enable Gujarat Lions restrict Supergiant to 171 for eight.
Tye's was the second hat-trick of the day in the history of IPL after Royal Challengers Bangalore's Samuel Badree (4/9) achieved the feat earlier against Mumbai Indians in a losing cause.
Later chasing the target, Brendon McCullum (49 off 32) and Dwayne Smith (47 off 30) got Gujarat Lions off to a flier with a blazing 94-run opening stand to set the base for the convincing victory.
Skipper Suresh Raina (35 not out) and Aaron Finch (33 not out) then joined hands and stitched an unbeaten 61-run fourth wicket stand to overwhelm the target with two overs to spare.
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Both McCullum and Dwayne Smith looked in murderous mood as they mostly dealt fours and sixes.
The duo didn't spare a single Supergiant bowler as they effortlessly struck boundaries and sixes.
Supergiant finally manged to put some brakes on the Gujarat Lions' scoring rate when Shardul Thakur dismissed Dwayne Smith in the ninth over, caught at third man by Rahul Chahar.
Dwayne Smith scored his runs off 30 balls with the help of eight boundaries and one six.
New man in Dinesh Karthik too didn't last long as he chopped on Imran Tahir's googly on to his stumps in the next over.
Earlier electing to bowl, Gujarat Lions got off to a prefect start as veteran Praveen Kumar (1/51) removed dangerous Ajinkya Rahane for a duck with the third ball of the innings.
The credit for the dismissal should go to Gujarat Lions skipper Raina who pulled off a one-handed blinder at the first slip from a good length delivery that came in after pitching and cramped the batsman for room only to induce an outside edge.
Tripathi smacked Praveen for two consecutive sixes and a four and then Smith hit the bowler two consecutive boundaries to pick up 25 runs from the fifth over.
But Tye put the brakes on the scoring with a slower delivery by removing the dangerous-looking Tripathi in his first over as the batsman went for another huge hit only to lift the ball as far as mid-off into the safe hands of Finch.
Smith was the next to depart when he mistimed a Dwayne Smith delivery to Finch at long-on with the Supergiant scoreboard reading 89 for two in 9.2 overs.
Under-fire Dhoni's (5) woeful run in the tournament continues as he lasted a just eight deliveries, caught in plumb in front of the wicket by Ravindra Jadeja (1/40).
Manoj Tiwary (31) and Ankit Sharma (25) then added valuable 47 runs for the sixth wicket to push Supergiant's forward.
But Tye left his best for the last over of the innings and dismissed Ankit, Tiwary and Shardul Thakur with the first three balls to halt Supergiant's surge.
Tye was at his effective as he deceived the batsmen, who went for big shots, with best with his slower balls that includes his famous knuckle delivery.
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