Pakistan, having been put into bat by the hosts captain Brendan Taylor, set a target of 270-5 with Zimbabwe making 242-9 in reply.
Pakistan, who had scrambled to a five run win in the opening match and took the second by 10 wickets, were always the dominant side.
Zimbabwe put up a strong showing, their failing being continually behind the required run rate.
Score board
PAKISTAN
Hafeez c Waller b Vitori 23
Farhat c Chibhabha b Ch’bura 37
Shafiq st Taibu b Price 51
Younis c&b Jarvis 81
Malik c&b Chigumbura 14
Misbah (not out) 29
A Akmal (not out) 24
Extras (LB-2, W-6, NB-3) 11
Total (for 5 wkts, 50 overs) 270
Fall of wickets: 1-45, 2-76, 3-173, 4-211, 5-215.
Bowling: Vitori 9-1-62-1, Jarvis 10-0-55-1, Chigumbura 9-1-36-2, Price 10-1-48-1, Utseya 10-0-57-0, Masakadza 2-0-10-0.
ZIMBABWE
V Sibanda c sub U Akmal b Yasir 59
Chibhabha c Younis b Malik 62
Taylor c A Akmal b Cheema 6
Masakadza c Misbah b Sohail 21
Taibu c Younis b Yasir 27
Waller b Cheema 19
Chigumbura c Shafiq b Cheema 9
Utseya (not out) 15
Price b Cheema 10
Jarvis b Hafeez 6
Vitori (not out) 3
Extras (W-5) 5
Total (for 9 wkts, 50 overs)242
Fall of wickets: 1-110, 2-120, 3-133, 4-176, 5-179, 6-196, 7-208, 8-225, 9-238.
Bowling: Tanvir 9-0-54-0, Sohail 9-0-36-1, Hafeez 9-0-37-1, Cheema 10-1-43-4, Yasir 10-0-51-2, Malik 3-0-21-1.