Australia made a feeble start to their chase but Shaun Marsh contributed 55 before Glenn Maxwell (54) and Faulkner (69 not out) provided the late surge that took them to their victory target with three balls to spare.
Australia, who won the Ashes series 5-0, lead the five-match series 2-0 going into the next game in Sydney on Sunday.
(Reporting by Amlan Chakraborty; editing by Ed Osmond)
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