Century-makers Joe Burns and Steve Smith shredded the New Zealand attack to have Australia in charge of the second Test, before both fell in the dying stages of day two in Christchurch on Saturday.
Burns hit a career best 170, his third century, and Smith made 138, his 14th, as Australia ended the day at a commanding 363-4 in reply to New Zealand's 370.
After Brendon McCullum's 145-run blitz gave New Zealand the first day honours on a green, seaming wicket, Burns and his captain Smith ensured the momentum swung Australia's way as the pitch flattened out.
Burns spent a lot of time successfully fighting off Neil Wagner's short-ball tactic before eventually pulling one to Martin Guptill at square leg with 28 balls left in the day.
Five balls later, in a repeat scenario, Guptill gave Wagner his second wicket and Smith was gone.
Adam Voges was on two with Nathan lyon, sent in as nightwatchman, on four.
Until Smith's dismissal, the only moment of concern in his classy innings came when he was felled by a fearsome Wagner bouncer in the last over before tea. He lay prone on the ground for a few moments, but as the New Zealand players rushed to his aid, Smith staggered to his feet and after medical attention he resumed his innings with a single off the next ball.
After Australia resumed the day at 57-1, they added 306 for the loss of three wickets with Usman Khawaja the first to go.
New Zealand quicks Trent Boult, Southee and Henry had the better of the exchanges at the start of the day.
Boult put an added spring in the step of the New Zealanders with the valuable wicket of Khawaja for 24, caught low down by McCullum at first slip.
McCullum used every trick in his playbook from short- pitched bowling, to the leg theory, to part-time spinner Kane Williamson, before Wagner's late breakthrough.
Brief Scores
Australia: 363/4 (Burns 170, Smith 138, Wagner 2-85) trail New Zealand: 370 by seven runs.