Macalister Wright played a brilliant knock of 64 runs off 45 balls studded with four boundaries and three sixes
Earlier, Williamson, Taylor and Munro scored half-centuries to propel New Zealand to 203.
The first game of the five-match T20I series will be played at Eden Park in Auckland.
Sri Lanka's bowling line-up trounced on the final day by picking up wickets at regular intervals.
Both Steve Smith and Marnus Labuschagne got out in the single digits on their BBL return.
With the way Banton performed in the BBL, there is absolutely no denying that the fans are desperate to see him in the IPL.
Along with Mathews, De Silva also showed glimpses of his character by scoring a 63-run knock before getting dismissed off Victor Nyauchi.
Jonathan Wells bagged the Player of the Match for his 36-ball 55.
After Zimbabwe put on a gritty batting display on the first two days, visitors Sri Lanka retaliated by putting up a strong performance on Day 3.
Matthew Wade and Co are in with a mathematical chance of qualifying for the playoffs.