Klinger (105 not out) crunched seven fours and four sixes during a pulsating 60-ball knock as last year???s Big Bash champions posted 192-3 from their 20 overs at The WACA.
Left-armer Jason Behrendorff (2-16 from four overs) and spinner Ashton Agar (2-22 from three) then starred with the ball as the Perth outfit bounced back immediately from their opening-game defeat to Adelaide Strikers.
Klinger made 49 while batting at three against the Strikers, but his switch to opener proved a shrewd decision with the 34-year-old putting on 103 for the first wicket with Marcus Harris (53).
Harris??? 39-ball knock, which featured five boundaries and a maximum, came to an end off the final ball of the 12th over when he was caught out by Renegades skipper Aaron Finch.
But Klinger then cut loose, crashing 55 runs off his final 22 balls en route to accruing the eighth ton in Big Bash history, while former England batsman Michael Carberry, who slipped down to three in the batting order, added 17 runs from the 15 deliveries he faced.
Renegades seamers Dwayne Bravo and Andrew Fekete took the brunt of the punishment, with the former shipping 48 runs from his four overs and the latter thumped for 41 from his.
Finch and Matthew Wade began the Renegades??? reply but didn???t last too long, with Wade (14) pouched by Harris at square leg off the impressive Behrendorff and Finch (19) then bowled by Agar after botching a slog-sweep in the seventh over.
The Renegades were soon three down when Tom Cooper (9) dragged an Andrew Tye bouncer onto his stumps, but Callum Ferguson and Bravo put on 38 for the fourth wicket before the West Indies star looped a catch to Behrendorff at long off to depart for 13.
However, Ferguson???s exit for 39 in the 15th over with the away side still requiring 89 for victory proved a hammer blow, and they were dealt another when Behrendorff forced the experienced, Ben Rohrer (9), to glove behind.
West Indies all-rounder Andre Russell (43 off 21 balls) produced some late fireworks, thrashing four mammoth sixes and two fours during a thrilling innings in which he was also dropped by Tye.
But Scorchers eased their way to victory and left Renegades on zero points, following the Melbourne side???s eight-wicket reverse to Sydney Sixers in their first game.