Set a victory target of 141 after Mackenzie Harvey's unbeaten 71 lifted the visitors to 6-140 at Metricon Stadium, the Heat were given a typically fast start by Chris Lynn (32 off 14) to reach the target with 19 balls to spare.
The win comes after the Heat left the northern NSW town of Kingscliff, where they'd been staying following last week's loss to the Perth Scorchers in Western Australia, and crossed the border at 2am on Monday.
Sent in to bat by Heat captain Jimmy Peirson, the Renegades had plenty to be thankful towards Harvey for after he top-scored with a crucial 71 off 56 balls.
The left-hander was the only Renegades batsman to pass 20 in a innings where the Heat bowlers Liam Guthrie (0-10) and Mujeeb Ur Rahman (0-19) bowled their four overs each without conceding a boundary.
Player-of-the-match James Bazley was the leading wicket-taker for the hosts with 3-28.
In reply, Lynn smashed three boundaries and a six off the first four deliveries of Will Sutherland's first over to get the Heat off to a perfect start.
The big-hitting opener fell trying to slog one too many off Zahir Khan who was the best of the Renegades bowlers with 2-27 off his four overs.
Sam Heazlett guided the chase home with an unbeaten 44 off 29 deliveries.
Brisbane next play the Sydney Thunder at the Gabba on Sunday with the Renegades next match at home against the Scorchers on December 22.
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