Centre Rieko Ioane added the second in the left corner seven minutes later after some powerful forward runs in the midfield, and winger Caleb Clarke made it 21-0 with the third converted try after little more than a quarter of an hour.
Despite making a raft of basic errors, Australia managed to get on the board in the 18th minute through Fraser McReight after a line-out turnover and the openside flanker followed that shortly afterwards with a 50-22.
The Wallabies knocked on at the line-out that resulted, however, and number eight Ardie Savea was soon romping over the line for a fourth All Blacks try after an interception by winger Sevu Reece.
Australia hit back again when hooker Matt Faessler peeled off an attacking maul to touch down and flyhalf Noah Lolesio converted from wide out to send the All Blacks in at halftime with their lead cut to 28-14.
After the Damian McKenzie penalty had extended the lead to 31-14 in the 45th minute, the All Blacks had a length-of-the-field try called back for a knock on before Australia worked themselves back into the game.
The home side had plenty of possession but were unable to convert it into points until Paisami barged over from close range in the 65th minute, bringing the crowd of 68,061 at Stadium Australia to full voice.