Heather Graham (3-12), Molly Strano (3-14) and Nicola Carey (3-24) limited the Renegades to just 9-101 after the Hurricanes won the toss and elected to field.
Only West Indies superstar Hayley Matthews got going for the Renegades, hitting 39 as wicketkeeper Josephine Dooley (16) was the only other batter to reach double figures.
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Graham picks up three to rattle Renegades
The Hurricanes had little trouble during the chase, reaching the target with 14 balls to spare.
Opener Elyse Villani continued her fine tournament with an unbeaten 46, while Carey blasted 25no to cap off a handy all-round performance.
Hobart moved up to fifth in the win, one point clear of the Sydney Sixers, with two games left.