In their first test series under coach Gary Stead, the Black Caps bounced back from a horror second test defeat - and from a dire position midway in the third - to truly trounce Pakistan on the final day, bowling them out for 156 in the fourth innings to claim victory.
"It feels pretty special, and this will be one that the guys remember for a long time".
The New Zealand cricketers have sealed a historic test series win over Pakistan.
Opener Mohammad Hafeez was dropped off the first ball he faced and thus missed making a pair in his farewell test.
Williamson, who batted through the day on day four to score 139, was given out leg before wicket to seam bowler Hasan Ali with the first ball of the morning, leaving the visitors on 272 for 5.
"Ever since I knew this record it became my dream to take fastest 200 wickets and it came true today", said Yasir, who still hopes Pakistan can pull off a win.
Pakistan were again let down by sloppy batting and Sarfraz rued missed opportunities. "It's very disappointing to lose a series in conditions which are our own".
Pakistan have produced some of the best fast bowlers and batsmen over the years but the Asian giants were never known for their running between wickets.
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But then he came forward and mistimed Patel and holed out in the deep.Patel took the last wicket to secure only New Zealand's fifth series victory in Asia and first in 10 years.The failure to resist frustrated captain Ahmed, who oversaw Pakistan losing only its second test series in the United Arab Emirates in the last decade.
De Grandhomme had Azhar Ali caught behind as Pakistan wobbled early on in the chase. Will Somerville continued a standout debut by taking two wickets in two balls, removing Haris Sohail - caught at slip - and Asad Shafiq - gloving a ball down the legside to Watling.
That 212-run stand between Williamson which brought New Zealand back into the game on Thursday, was finally broken with the very first ball of the day.
New Zealand was still trailing Pakistan in its second innings by 14 runs when Nicholls joined Williamson before lunch.
But his 283-ball knock, containing 13 boundaries, turned the match.
He and Nicholls, closing on his third test century, scored 87 in the second session and 73 in the last session.
De Grandhomme struck two boundaries and two sixes as New Zealand added 81 runs in 45 minutes, ensuring they set up a daunting target for Pakistan. Shah is on 199 in just his 33rd Test match.