Australian spinner Nathan Lyon took six wickets in New Zealand's second innings to earn a comfortable 172-run victory in the first Test in Wellington.
New Zealand kept their hopes in the first Test alive as Glenn Phillips took five wickets to bowl Australia out and set a target of 369 on the third day in Wellington.
With wickets tumbling around him, Cameron Green put together an unbeaten century for Australia on the opening day of the first Test in Wellington on Wednesday.
Australia achieved their quickest-ever One-Day international triumph on home turf by trouncing West Indies with an eight-wicket victory in Canberra.
An injury to Marizanne Kapp did the Proteas Women little favours as they fell to an eight-wicket defeat in the first One-Day International against Australia in Adelaide on Saturday.
A fizzing bouncer forced Usman Khawaja to retire hurt, but Australia still eased to a comprehensive win in the opening Test match against the West Indies in Adelaide on Friday.