The 21-year-old, who took 5-27 on debut to fire the hosts to a nine-wicket victory in the first match of the two-test series earlier this week, removed the tourists' last two wickets on consecutive balls to finish with figures of 5-51.
Pattinson was ably aided by Peter Siddle, who took 3-24, and Mitchell Starc (2-30) as the Australian seamers made the most of having first crack on a lively greentop wicket at the Bellerive Oval.
Dean Brownlie offered New Zealand's only real resistance to the Australian attack, notching an impressive 56 off 85 balls with 10 fours before hitting the ball onto his own wicket to give Pattinson his penultimate victim in the innings.
New Zealand skipper Ross Taylor had a morning to forget, losing all rounder Daniel Vettori to a hamstring strain sustained in the warm-up, then an important toss and finally three wickets inside the first 45 minutes, including his own.
Australia started unchanged from the team that won the opening match last Sunday with Pattinson handed the ball to open the attack.
It was Siddle who initially got the most movement out of the wicket, however, and he had opener Martin Guptill caught behind for three with his second ball of the day.
Jesse Ryder was promoted to number three but his innings had lasted just six balls when he was given out for a duck lbw to Pattinson, umpire Nigel Llong reversing his original decision after an appeal by Australia brought the television pictures into play.
Taylor was the next to go for six to leave his team 3-25 and again the TV appeal system was employed, this time to confirm the lbw decision off Siddle's delivery.
Starc next had Kane Williamson caught for 19 down the leg side by Haddin before Pattinson struck again with a two-wicket maiden.
First he removed the key wicket of Brendon McCullum for 16 with Haddin again taking the catch after the opener had been tempted by a superb delivery that moved away late.
Wicketkeeper Reece Young was Pattinson's next victim, chopping the ball onto his own stumps at the last moment after shaping to leave it alone and departing for a duck.
Bracewell and Brownlie put on 45 for the seventh wicket before Siddle struck again, having Bracewell caught in the slips by Michael Clarke.
Pattinson then returned to mop up the remaining two wickets, removing Brownlie first and then clean bowling Chris Martin for a golden duck to leave bowler Trent Boult, who was making his debut in place of Vettori, unbeaten without a run to his name.
