Andy Donaldson, 31, swam through the night to complete the 23km route in four hours and 33 minutes.
It was the third leg of seven comprising the Oceans Seven challenge.
The Ayrshire man has already broken the British record for swimming the English Channel and became the first Scottish male to swim from Ireland to Scotland.
He waited over three weeks for the right wind conditions before setting off from Wellington, at the bottom of New Zealand's North Island, just before midnight on 7 March.
