The Hurricanes, chasing 187 to win to keep their season alive, required 21 runs off the final over but veteran Striker Peter Siddle intervened with yet another cool showing with the ball.
The home side made a game of it after they were reduced to 3/64 thanks to South African import David Miller's unbeaten 90 (48).
But Siddle, renowned for his miserly economy rate and bowling at the death, closed the game out for the Strikers who claimed their second consecutive win.
Earlier, Player of the Match Travis Head clubbed 79 from 40 balls, including six sixes and five fours, to help the Strikers post 5/186.
Head was dropped on 21 by Miller at deep square leg, one of two simple chances shelled by a sloppy Hobart.
Head made them pay and took a particular liking to off-spinner Clive Rose, launching him for two maximums in three balls in the 13th over before holing out on the leg-side boundary.
The Strikers captain shared a 97-run stand with Jon Wells (45no from 35 balls) after Adelaide fell to 2/24.
He also pulled off a stunning one-handed grab at cover to remove Jake Doran (28) off the bowling of Wes Agar who claimed career-best figures of 4/33, which is the fourth-best return in Strikers history.
The Hurricanes' chase was off to the worst possible start when captain Matthew Wade (five) edged Michael Neser to slip in the first over.
The Strikers are now second on the KFC BBL|09 standings on net run rate, ahead of their return match against league leaders Melbourne Stars at Adelaide Oval on Wednesday night.