"Think the story of this series was in key moments one guy stood up, we didn't necessarily play the complete game, but in those pivotal moments someone stood up and made themselves a matchwinner," Cummins, who struck a vital 32 not out, said. "[We] keep finding ways to win, it's a pretty awesome squad."

He added that the tempo Marsh and Carey were able to bat at was vital in putting the pressure back on New Zealand's bowlers. It also meant the second new ball wouldn't be a factor.

"We've been on the other side of it plenty of times and if the scoreboard's not moving you feel in the game, but if they are chipping away it seems like it's all happening pretty quickly," he said. "That was goal today, be busy, keep the run rate ticking over and bit by bit getting closer."

"[It was] pretty tense," he added. "Pretty nervous watching for the last couple of hours, everyone trying to keep themselves busy then looking up at the board. Amazing win."

The victory meant Australia finished with six Test wins and one defeat in the season having beaten Pakistan 3-0 and drawn 1-1 with West Indies. They now have a long break from Test cricket before facing India at home in November.

"The partnership with Mitch Marsh and Alex Carey sort of broke the back of our attack, but then a great little exciting end to the day," he said. "When you are playing the No. 1 side in the world you need to go that little bit further. But a great Test matchebbed and flowed throughout the whole match."