New Zealand had won the toss and had batted first and Australia were all out for 131 in reply.
The first T20 between New Zealand and Australia saw Devon Conway unbeaten 99 from 59 balls lead the hosts to a 53-run win over the Aussies on Monday. He was left just short of a maiden century.
The South African-born Conway surpassed his previous high score of 65 in T20Is after he had come to the crease when New Zealand were 11-2. He however left unbeaten when the Kiwis were 184/5.
The Blackcaps had won the toss and had batted first and Australia were all out for 131 in reply.
New Zealand struggled early against pacemen Daniel Sams, Jhye Richardson and Kane Richardson before Conway made sure to stick around.
Sams dismissed opener Martin Guptill and then removed captain Kane Williamson (12) while Jhye Richardson bowled Tim Seifert (1) to leave the hosts 19-3.
Conway, along with Glenn Phillips (30) rebuilt the innings in partnerships of 74 for the fourth wicket. He then added a 47 run partnership for the fifth with Jimmy Neesham (26), and 44 with Mitchell Santner (7).
Australia also were in trouble early as they had lost captain Aaron Finch in the first over and Josh Philippe - on debut - in the next over as they were left 8/2. Both fell to catches by Conway.
Tim Southee and Trent Boult were able to swing the ball at Hagley Oval as they also captured the wicket of Matthew Wade to leave Australia 16/3.
Neesham then went on to dismiss Glenn Maxwell (1) as Australia were left on 19-4. Mitch Marsh, who came batting up the order at No. 4, along with Marcus Stoinis mounted a small revival, which left the tourists at 56-5.
New Zealand leg-spinner Ish Sodhi, however, removed Marsh (45), Stoinis (8), Ashton Agar (23) and Sams to finish with 4/28. Agar and Sams fell within two balls to catches taken by Kyle Jamieson behind square.