New Zealand's Glenn Phillips (left) and teammate Mark Chapman celebrate their win in Wellington on Sunday. AFP

Leg spinner Sodhi came into the match as the leading wicket-taker in the series with 10 at an average of 18 and improved to 13 at 11.8, taking 3-24 as Australia was held 142-8 after choosing to bat on winning the toss.

New Zealand surpassed that total with 27 balls to spare, steered by Guptill and Devon Conway who put on 106 for the first wicket in 11.5 overs.

Sodhi was supported during Australia’s innings by left-armer Mitchell Santner who took the new ball and bowled his four overs at a cost of only 21 runs. Having noted the influence of spin in the previous match in the series, New Zealand also used part-time spinners Mark Chapman, who took 1-9 from two overs, and Glen Phillips whose two overs cost 21 runs.

Australian players walk off the field after their loss in their 5th T20 cricket international match in Wellington. AP

The spinners shared 12 of New Zealand’s 20 overs, more than in any of the Black Caps’ previous T20 internationals. That followed Australia’s record in the fourth match when Aston Agar, Adam Zampa and Glenn Maxwell bowled 11 overs.

The drop-in pitch at Sky Stadium hosted the last three matches of the series in the space of six days. Australia made 208-4 in the third match, winning by 64 runs, but in the fourth on a pitch which had slowed considerably and favored spin it defended a total of just 156-6, winning by 50 runs.

Until Sunday, each match in the series had been won by the team batting first. New Zealand won the first two by 53 runs and four runs but hadn’t previously been able to put together a substantial innings when chasing in Wellington.

It needed a stronger foundation from its openers: Guptill and Tim Seifert put on only 20 in the third match and 21 in the fourth as Australia fought back to level the series.

Conway was promoted to open with Guptill on Sunday the new opening pair immediately struck gold, reaching their century partnership in the 12th over.

Guptill posted his 17th T20 from 33 balls and moved to second place behind Virat Kohli on the list to top run-scorers in T20 internationals.

The partnership finally was broken by Riley Meredith in the 12th over when Conway was caught in the deep for 36. There was a flicker of hope for Australia when New Zealand captain Kane Williamson fell lbw to Meredith first ball.

Guptill was out in the 15th over, having made 71 from 46 balls with seven boundaries and four sixes, and having set the foundation on which New Zealand’s win depended.

Phillips finished the job, hitting 34 from 15 balls with five fours and two sixes including a six for the winning runs in the 16th over off Adam Zampa.

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"The other night we took a backward step and today we wanted to not back down from the fight and we showed that with a good opening stand,” Guptill said. "Today Devon (Conway) was brilliant out there.

"I wouldn’t say I went after them from ball one. But it was just good to spend a bit more time out there and create a partnership with Devon. He got off to a good start, I caught up and pushed on and the best part about it was we got the win.”

While Australia couldn’t contain Guptill, New Zealand managed to mostly neutralize Australia’s big hitters.

Australia also tried a new opening combination, promoting Josh Philippe to join Aaron Finch but the move was unsuccessful and Philippe was out for 2 in the second over, trapped lbw by Trent Boult who took 2-26.

New Zealand and Australia play during their 5th T20 cricket international match in Wellington on Sunday. AP

Finch made 69 in the third match and carried his bat for 79 in the fourth. But he was out for 36 Sunday, falling to Sodhi. The Australian captain had been dropped by Tim Southee off Sodhi in a potentially costly miss but fell only two balls later to a catch by Mitchell Santner.

Hard-hitting Glenn Maxwell was probably the wicket New Zealand most wanted and he fell to the newcomer Chapman for 1 in the 11th over when Australia was 77-3.

Matthew Wade made a brisk 44 before being dismissed by Boult and Marcus Stoinis fell to Sodhi for 26. Australia then couldn’t muster a late charge to enlarge it’s total.

Associated Press