The match finished with a dramatic super over to decide the final result, handing the hosts the T20 title in the process with a 2-0 lead in the three game series here Friday.
Batting first, Pakistan made 151/4 before Australia matched the total for the loss of eight wickets, leaving it to super over to decide the result.
Australia made 11/1 in their single over before Pakistan chased down the target off the final delivery.
Captain George Bailey top-scored with 42, Shane Watson hit 33 and David Warner made 31. Pat Cummins, Mitch Starc, Shane Watson and Dan Christian all took one wicket each for Australia.
Brief scores: Pakistan 151/4 (Hafeez 45, Jamshed 45) beat Australia 151/8 (Bailey 42; Ajmal 2-20) through super over.