The Pakistanis, beaten by Australia in the World Cup semifinals in the Caribbean this year, won by 11 runs after their 23-run win on Monday to clinch the two-match series.
Pakistan posted a challenging 162 for nine with six of their batsmen reaching double figures, including the Akmal brothers Kamran and Umar who scored 33 and 25 respectively.
Captain Shahid Afridi, who took two excellent catches on Monday, struck with the ball this time. Afridi took two for 30 from his four overs to reduce Australia to 104 for five.
Michael Hussey, who steered Australia to victory in the World Cup semifinal in St Lucia when Pakistan appeared to have the game won, kept his team in the match batting at number seven. Left-hander Hussey scored 25 from 14 balls but his dismissal lbw to Umar Gul spelled the end of his team's hopes and they were all out for 151 from 19.4 overs.
Score board
PAKISTAN
Shahzaib lbw D Hussey 0
Butt c White b O'Keefe 31
K Akmal c Clarke b Johnson 33
Malik c O'Keefe b Nannes 12
U Akmal c & b Nannes 25
Afridi c Paine b Nannes 18
Razzaq (run out) 3
Aamer (not out) 21
Gul b O'Keefe 0
Akhtar b O'Keefe 0
Ajmal (not out) 6
Extras (B-2, LB-1, W-9, NB-1) 13
Total (for 9 wkts, 20 overs) 162
Fall of wickets: 1-0, 2-61, 3-78, 4-100, 5-130, 6-130, 7-140, 8-146, 9-154.
Bowling: D Hussey 3-1-16-1, Tait 4-0-37-0, Nannes 4-0-30-3, Johnson 4-0-39-1, O'Keefe 4-0-29-3, Hopes 1-0-8-0.
AUSTRALIA
Warner lbw b Aamer 1
Clarke b Aamer 30
Paine c Gul b Akhtar 0
Hopes st Akmal b Afridi 30
Hussey c & b Ajmal 33
White c Malik b Afridi 7
Hussey lbw Gul 25
O'Keefe (run out) 5
Johnson lbw Aamer 0
Nannes (not out) 12
Tait (run out) 2
Extras (LB-3, W-2, NB-1) 6
Total (all out; 19.4 overs) 151
Fall of wickets: 1-17, 2-22, 3-33, 4-83, 5-104, 6-113, 7-127, 8-136, 9-139.
Bowling: Akhtar 4-0-29-1, Aamer 4-0-27-3, Ajmal 4-0-26-1, Gul 3.4-0-36-1, Afridi 4-0-30-2.