A career-best BBL knock from Matt Short (65 off 41) and a quickfire 42 from 30 by Jon Wells helped the home side to 5/174, but the visitors silenced the vocal home crowd after reaching the total with five wickets and five balls to spare.
Short thumped five sixes and combined for a Strikers fourth-wicket record 104-run union with Wells in notching his second BBL half-century.
The Renegades fought hard to recover from 5/82 before Dan Christian (49 not out) and Mohammad Nabi (48 no) combined for an explosive sixth-wicket partnership of 96 in just eight overs.
They absorbed the early exit of Tim Ludeman (eight) to get off to a flying start before Strikers leg-spinning wizard Rashid Khan (2/13) struck twice in his second over.
The Afghan bowler trapped Sam Harper (28) and the red-hot Cameron White (32) lbw with perfect wrong 'uns to swing momentum back in the Strikers’ favour.
Renegades captain Tom Cooper then departed first ball to give BBL debutant Cameron Valente his maiden Big Bash wicket as the Renegades lost 3/2 and looked in trouble, with the asking rate climbing to 100 off the last 10 overs.
But they stormed home through Christian and Nabi to record a second straight victory and hand the Strikers their first loss of BBL|08.
The Strikers next head to Perth to take on the Scorchers on Boxing Day at Optus Stadium.