Kane Williamson has fought to the death for the Black Caps, striking an unbeaten 112 but failing to find the boundary off the final ball, with England emerging four-run winners in their third one-day global. The slow nature of the surface saw Ali (3-36) remove Mark Chapman, Colin de Grandhomme and Henry Nicholls in quick succession.
Williamson, who had struggled for runs in recent innings and missed the second ODI, which England won, because of a hamstring strain, returned to the arena with an imperious performance for his 11th ODI century.
England, having lost the toss, took to the crease and knocked up a score of 234, with Eoin Morgan's 48 the highest any of the players could muster.More news: Threepeat For Genzebe Dibaba At IAAF World Indoor Championships
Just when one thought that the Kiwis were down and out, Mitch Santner and Williamson added another 96 runs for the 7th wicket to bring them back in the game.
New Zealand's skipper hit Chris Woakes' third delivery for a maximum but could not repeat the feat from the final delivery as his side slipped to a narrow defeat.
With New Zealand in deep trouble at 103-6, Mitchell Santner came in and carried on his brilliant form with the bat.
Willamson (112no off 143) was unable to hit Chris Woakes' final ball of the match for six as New Zealand ended on 230-8 chasing England's 234 all out on a hard pitch.
Santner was then unluckily run out for 41 when Woakes got his hand to a straight drive from Williamson and deflected the ball back onto the stumps, leaving the all-rounder stranded and New Zealand 199 for seven with 4.4 overs remaining.More news: Aer Lingus cancel 50 flights out of Dublin tomorrow
Despite all falling around him Williamson was typically assiduous, nudging and nurdling as he so frequently does to increase his score deceptively quickly.
Earlier hopes that the Westpac Stadium pitch would play better than it looked, proved false - at least until halftime when it seemed a different pitch had been unveiled.
Their problem was no one could settle in long-term and New Zealand part-time medium pacer Colin de Grandhomme was allowed to bowl 10 overs in which he took one for 24. Lower down the order, Buttler, who cracked three fours and a six, Moeen Ali (23) and Chris Woakes (16) made decent contributions and propelled the visitors to a competitive total.
"It was a brilliant game of cricket and was hopefully entertaining for everyone".
'My plan was to bowl tight and the wickets just came, we built pressure through dot balls.More news: How to watch the March 2018 full 'worm' moon