A second Jonny Bairstow century in as many games, ably backed up by 61 from Alex Hales, guided England to a comfortable seven-wicket victory to claim the series 3-2.
New Nottinghamshire recruit Ross Taylor was ruled out of the final match after a late fitness test and New Zealand missed the explosive batsman as they found themselves in early trouble having been asked to bat first.
England had the hosts six down before they passed the 100 mark despite the best efforts of Martin Guptill, who made a patient 47.
Henry Nicholls (55) and Mitchell Santner (67) provided a lower order fightback, but Chris Woakes (3-32) and Adil Rashid (3-42) took three wickets apiece to reduce the Black Caps to 223 all out.
That total always looked below par as Bairstow and Hales came racing out the blocks in reply, adding 155 inside just 20.2 overs.
Having hit 138 in the previous One-Day International, Bairstow continued his fine form, pummelling the New Zealand attack to all parts on his way to a 60-ball 104, which included nine fours and six maximums.
Hales fell to the impressive Santner for 61 and Eoin Morgan, on the occasion of his 200th ODI, couldn’t see his side over the line as Outlaw Ish Sodhi had him caught for eight.
Ben Stokes joined Joe Root (23*) and hit a breezy 26* to take England to their target off just 32.4 overs to round off a decent white ball winter for the England side.
Meanwhile, Samit Patel helped guide Islamabad United past Peshawar Zalmi in the Pakistan Premier League with figures of 4-34.
The left-arm spinner removed the top three of Kamran Akmal, Andre Fletcher and Dwayne Smith before returning to add Hasan Ali, as his side won by 26 runs to climb to the top of the table.
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