After a sublime effort with the ball restricted the Black Caps to 9-150, Australia was cruising at 3-121 in the 15th over when rain intervened.
Australia punctured New Zealand hopes at regular intervals after the hosts chose to bat.
New Zealand failed to recover and kept losing regular wickets but Ross Taylor's valiant innings and Ish Sodi's resilience took them to 150/9.
Australia got off to a good start in the run-chase, with skipper David Warner and D'Arcy Short adding 72 for the first wicket with Short the more aggressive of the two going to his fifty in just 30 balls. Australia have now won 6 on the trot and have equalled their longest winning streak in the shortest format of the game. By far the most impressive victory was a world record run chase in Auckland, when the Aussies chased down New Zealand's total of 243 with more than an over to spare.
They raced to 48 without loss but Australian captain David Warner held his nerve and backed his attack, constantly switching bowlers so the batters could not settle.
The players were off the pitch when officials made a decision to abandon the match due to persistent rain, awarding Australia a 19-run win under the Duckworth-Lewis system.
Warner said New Zealand should not be too concerned.More news: Dunphy: 'Mourinho a bad fit for United'
The man himself is coy on whether or not he'd take the reins full-time, suggesting he hasn't spoken to Smith about that prospect, but based on the empirical evidence we have at hand, it would seem handing charge of the Twenty20 side to Warner would probably be a rare win-win-win situation.
The New Zealand opener needed quite some time to get going, he returned with 3 and 11 in the first couple of games against Australia and England.
Guptill hit 21 while Munro notched a rapid-fire 29.
A 38-run ninth-wicket partnership from 36 balls offered some solace as Sodhi provided Taylor with stability.
Glenn Maxwell (20no) and Aaron Finch (18no) steadied the ship before heavy showers forced play to be abandoned. Australia though will be concerned about the fitness of Chris Lynn, who dislocated his shoulder while fielding.
"I have no problem with that as a scenario going forward as we play more and more worldwide T20 cricket".
Agar was the pick of the bowlers with three wickets, while Tye and Richardson snapped up two wickets apiece.