The victory made it two wins in a row in the national capital to start the BBL|10 campaign.
Leg spinner Adam Zampa turned in a Player of the Match performance, conceding just 10 runs from his four overs.
With Nathan Coulter-Nile rested after playing on Friday night, debutant Liam Hatcher took 3-28 and was on a hat-trick at one stage as the Stars asserted control with the ball.
The Stars won the toss and chose to bat and it was BBL|09 MVP Marcus Stoinis who shone early, smashing 61 off 37 deliveries to get the innings moving.
After Andre Fletcher was trapped LBW for 12, Glenn Maxwell belted 39 runs of 29 balls to give the Stars a solid platform to work from.
The fast start proved important as the Stars middle order fell cheaply to good bowling by Daniel Sams and Chris Green for the Thunder.
Set 170 for victory by the Stars, Dilbar Hussain took the key wicket of Usman Khawaja for 7 in the third over.
Alex Hales (46) and Callum Ferguson (54) put on a 69 run partnership before Clint Hinchliffe had Hales caught by Hilton Cartwright.
The Stars bowlers applied the brakes immediately and once Alex Ross (18) fell to Cartwright, no other Thunder batsman reached double figures as Hatcher and Zampa tore through the Thunder’s middle order.
Dilbar Hussain left the field midway through the second innings with a leg injury sustained while bowling and did not return with medical staff to review his condition on Saturday night.
The Stars head to Launceston for their next clash against the Perth Scorchers on Wednesday night at University of Tasmania Stadium.