The four-wicket win gave New Zealand the Twenty20 series 2-0 to go with their 2-0 win in the Tests. The one-day internationals were shared 2-2, the West Indies' only success on their six-week tour.
After New Zealand won the first Twenty20 by 81 runs, they were struggling at 79-5 in the second match before a 68-run partnership between Ross Taylor and Luke Ronchi turned the innings around.
Taylor played the anchor role with 39 off 41 balls while Ronchi belted an unbeaten 51 off 28 deliveries in an innings that included four fours and two sixes.
They then took 15 off the 17th over by Jason Holder and although Taylor gave his wicket away with a mistimed slog-sweep to Chadwick Walton at deep midwicket New Zealand were then in a position to coast to victory.
The outcome could have been different had the West Indies been more alert with their fielding.
Jesse Ryder was dropped twice as he raced to a quick 23 in nine balls, and Brendon McCullum received a life on his way to 17.
