Captain Kane Williamson anchored New Zealand's opening gambit with 115 from 117 balls, his 10th ODI century.
Williamson entered at 83 for one in the 13th over and controlled the innings until he was caught in the 48th with the score 288 for five.
He was backed throughout by handy runs from Colin Munro (58 off 35 balls), Henry Nicholls (50 off 43) and Martin Guptill (48 off 72). The 90-run partnership with Nicholls off 80 balls was probably the most valuable because it maintained the innings' momentum.
Munro's dismissal brought a sight which might become familiar to New Zealand fans during the series. The world's No.1 ODI bowler Hasan Ali unveiled the equivalent of wicket-taking haka with his celebration. He finished as the best of the tourists' bowlers with three for 61 from 10 overs.
The wind across the day was akin to something you imagine sailors face rounding Cape Horn. A couple of plastic bags even made a break for freedom as the innings advanced.
The first victims of the New Zealand innings were the bails. The umpires removed the mantelpieces from both sets of stumps after six overs because winds in excess of 45km/h were blowing them off at regular intervals.
Gusts of 120km/h hit exposed places around Wellington over the day.
In past such occurrences, lead-weighted bails have been used as a deterrent.
Presumably no heavier options – which included the Zing technology that lights them up when disturbed - were available.
The bails' spell retired hurt ended after the second drinks break.