The tourists had scored 104 for two when bad light brought an end to the game, leaving Australia 1-0 up in the series going into the third Test in Adelaide courtesy of their 208-run win in Brisbane last week.
Australia skipper Steve Smith had declared for the fourth time in four innings in the series an hour before tea after the hosts had made 385 for seven.
New Zealand's 624 had given them a 65-run first-innings lead over Australia's 559-9 declared.
Mitchell Johnson took two for 20 on his final day as an international cricketer after announcing his retirement earlier on Tuesday.
The pacer, who made his announcement before the start of play, summoned up one last spell of raw pace to dismiss both New Zealand openers and was chaired off the pitch by his team mates.
Earlier, Johnson was welcomed by a guard of honour of applauding New Zealanders when he came out to the crease and illustrated his batting skills with a bright 29 from 45 balls.
The 34-year-old was the first of the two batsmen to depart caught behind off Tim Southee (4-97) after lunch with Peter Nevill (35) following him back to the dressing room.
It was not too long before Smith's loud whistle called Mitchell Starc (28 not out) and Josh Hazlewood (2 not out) in to get ready to take the new ball.
Johnson led the Australians back onto the pitch on his 73rd and final Test and had bowled eight deliveries without conceding a run before the rain forced an early tea.
He resumed after the delay and soon sent Tom Latham (15) back to the dressing room after an attempted hook ended up in the hands of Josh Hazlewood at long leg.
Martin Guptill (17) was Johnson's 313th and final Test victim when a fast rising delivery saw him spoon the ball to Joe Burns at short leg.
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Image: Mitchell Johnson acknowledges the applause from the crowd after announcing his retirement at the end of Day 5 in the second Test between Australia and New Zealand at the WACA on November 17, 2015 in Perth, Australia.
Photograph: Robert Cianflone/Getty Images