Inzamam-ul-Haq was not out 72 and Yousuf Youhana, who hit the winning boundary, unbeaten on 88.
Pakistan would have had a nervous night, with rain lashing the capital, after they declined the extra 30 minutes they were allowed on Monday.
Rain delayed the start for 30 minutes on Tuesday and another shower arrived as the players took the field.
But Pakistan did not delay when they finally got going, with an Inzamam boundary at the start of the second over bringing up the 100 partnership between him and Youhana in 97 minutes and 141 balls.
The first Test was drawn.
Complete Scorecard
New Zealand first innings
M Richardson c Youhana b Shabbir 82
L Vincent b Shoaib 0
S Fleming lbw b Shoaib 0
R Jones b Razzaq 16
S Styris c Moin b Shoaib 36
C McMillan lbw b Shabbir 26
R Hart c Imran b Shoaib 19
J Oram c Moin b Shabbir 97
D Vettori c Yasir b Sami 44
D Tuffey not out 9
I Butler c Moin b Shoaib 4
Extras (b-5 lb-14 nb-11 w-3) 33
Total (for seven wickets, 142.3 overs) 366
Fall of wickets: 1-1, 2-1, 3-41, 4-96, 5-145, 6-171, 7-247, 8-327, 9-361.
Bowling: Shoaib 20.3-5-48-5 (w-1, nb-3), Sami 30-12-64-1 (w-1), Shabbir 37-8-87-3 nb-2 w-1), Kaneria 32-5-86-0, Razzaq 23-6-62-1(nb-5).
Pakistan first innings
Imran Farhat c Hart b Oram 20
Taufeeq Umar c Oram b Tuffey 16
Yasir Hameed b Butler 3
Yousuf Youhana c Fleming b Vettori 60
Inzamam-ul-Haq lbw b Oram 34
Abdur Razzaq b Butler 26
Moin Khan c Vettori b Butler 19
Mohammad Sami c Hart b Butler 4
Shoaib Akhtar b Butler 0
Shabbir Ahmed not out 0
Danish Kaneria lbw b Butler 0
Extras (b-4 lb-3 nb-6 w-1) 14
Total (all out, 90 overs) 196
Fall of wickets: 1-27, 2-30, 3-60, 4-112, 5-168, 6-172, 7-194, 8-195, 9-196
Bowling: Tuffey 24-9-46-1, Butler 20-6-46-6 (nb-6, w-1), Oram 22-5-49-2, Vettori 22-6-47-1, Styris 2-1-1-0.
New Zealand second innings
M Richardson c Moin b Shoaib 41
L Vincent lbw b Shoaib 4
S Fleming lbw b Kaneria 24
R Jones c Moin b Shoaib 7
D Tuffey run out 13
S Styris b Shoaib 0
C McMillan not out 3
J Oram lbw b Shabbir 3
D Vettori lbw b Shabbir 0
R Hart b Shoaib 0
Extras (lb-4 nb-2 w-2) 8
Total (all out, 53 overs) 103
Fall of wickets: 1-8, 2-43, 3-73, 4-95, 5-95, 6-96, 7-101, 8-102, 9-103.
Bowling: Shoaib 18-4-30-6 (nb-1 w-2), Shabbir 17-5-20-2, Sami 4-0-12-0, Kaneria 9-2-18-1, Razzaq 5-1-19-0 (nb-1).
Pakistan second innings
Imran Farhat c Hart b Oram 14
Taufeeq Umar lbw b Vettori 34
Yasir Hameed c Hart b Butler 59
Yousuf Youhana not out 88
Inzamam-ul-Haq not out 72
Extras (b-4 nb-4 lb-2) 10
Total (for three wickets, 75 overs) 277
Fall of wickets: 1-37, 2-75, 3-156.
Bowling: Tuffey 14-5-41-0 (nb 2), Butler 19-1-100-1 (nb-1), Oram 9-1-34-1, Styris 6-1-26-0, Vettori 23-5-59-1, McMillan 4-0-11-0 (nb-1).
Pakistan won by seven wickets and win the series 1-0.
Man of the Match: Shoaib Akhtar.
