Former Test paceman Peter Siddle (4/33) held his nerve once again in the face of some last-ditch pyrotechnics from acting captain Peter Handscomb (65* from 39 balls) as the hosts, defending 4/162, held the Stars to 8/151.
With their third successive win, the Strikers boosted their chances of securing the double-chance, leapfrogging the Sydney Sixers on the points table due to Adelaide’s superior run rate.
The Stars slumped to 2/26 when they lost both openers in the powerplay.
Phil Salt took a magnificent running outfield catch to send tournament leading runscorer Marcus Stoinis (5) packing before fellow opener Nic Maddinson (7) was skittled by leg-spinner Rashid Khan.
When Nick Larkin and the dangerous Glenn Maxwell both departed for 19 the visitors slipped further to 4/63 and never really recovered.
Adelaide’s own innings also started slowly, with the hosts falling to 3/57 at the halfway stage as the Stars employed spin for all but five overs before late-innings specialist Jon Wells came to the rescue with an unbeaten 55 from 36 deliveries.
With his fourth half-century of the summer, the consistent Wells lifted his season aggregate to 406 runs at 81.20.
He combined with Matt Short (23*) for 68 unbroken for the fifth wicket for the Strikers who smashed 105 from their last 10 overs.
The Strikers head west to Perth to confront the Scorchers in the club’s penultimate home and away match on Friday night.