It was the eighth time Pakistan have recorded a clean sweep in a one-day series at home and their second of the home season after a 5-0 defeat of Bangladesh in September.
The foundation on Sunday was laid by openers Yasir Hameed (127 not out) and Imran Farhat (107) who put on 197 to set Pakistan on their way to an imposing total of 277 for four.
It was a record fourth time in a row the two men had posted century opening partnerships and the stand also beat Pakistan's previous highest ever against New Zealand of 194.
The left-handed Farhat's maiden one-day century featured 12 fours and a six. Hameed's runs came from 154 balls, with nine fours and one six.
The 21-year-old Farhat, since returning to the Pakistan team after a year on the sidelines, has figured in seven century opening stands in his last nine innings in tests and one-dayers.
Although Hamish Marshall scored his third half century of the series (62 not out), the Kiwis were never able to chase the target once openers Craig Cumming and Richard Jones struggled to bring up 50 in the first 15 overs.
Three unnecessary run-outs in the innings did not help their cause, either.
By the time captain Chris Cairns came out to bat in the 36th over his team were struggling on 141 for three and in the last 10 overs they required 118 for an unlikely win.
Marshall and Tama Canning (23 not out) restored some pride by adding 49 undefeated runs in the last seven overs.
Scorecard:
Pakistan
Yasir Hameed not out 127
Imran Farhat c Oram b Canning 107
Abdul Razzaq c Hitchcock b Canning 2
Shoaib Malik run out 4
Moin Khan c Canning b Hitchcock 14
Azhar Mahmood not out 8
Extras (b-6 lb-2 w-5 nb-2) 15
Total (for four wickets, 50 overs) 277
Fall of wickets: 1-197 2-204 3-209 4-249
Bowling: Tuffey 8-1-48-0 (w-3), Oram 6-1-23-0 (nb-1), Cairns 7-0-38-0, Hitchcock 9-0-56-1 (nb-1 w-2), Walker 10-0-45-0, Canning 10-0-59-2.
New Zealand
C.Cumming lbw Abdul Razzaq 17
R.Jones run out 49
M.Sinclair run out 36
H.Marshall not out 62
C.Cairns c Shabbir Ahmed b Shoaib Akhtar 6
J.Oram run out 1
B.McCullum lbw Azhar Mahmood 5
T.Canning not out 23
Extras (lb-12 w-10 nb-7) 29
Total (for six wickets, 50 overs) 228
Fall of wickets: 1-50 2-106 3-141 4-155 5-158 6-179
Bowling: Shoaib Akhtar 8-1-36-1 (w-6), Shabbir Ahmed 10-1-34-0 (nb-3, w-2), Abdul Razzaq 9-0-46-1 (nb-3), Azhar Mahmood 10-0-42-1 (w-1), Shoaib Malik 10-0-33-0 (w-1), Imran Farhat 2-0-18-0, Yasir Hameed 1-0-7-0 (nb-1).
Result: Pakistan won by 49 runs.
Series: Pakistan won 5-0.
