A dismal first-half performance on Saturday was partly redeemed as winger Will Jordan scored three tries to become the Kiwis' all-time leading tryscorer with 50 in 56 Tests and Josh Moorby came off the bench to make an live-wire debut on his birthday.
New Zealand scored five tries and 33 points after halftime to make the win comfortable, but the errors that featured at both ends of the match will worry head coach Dave Rennie as the All Blacks prepare to face Ireland next weekend in Auckland.
Centre Tommaso Menoncello opened the scoring with a try from an All Blacks turnover, though New Zealand responded within five minutes through lock Sam Darry and the home team limped to halftime with a 14-10 lead.
Jordan's first try from a chip kick by Jordie Barrett and a skilful recovery by Leroy Carter gave New Zealand the lead for the first time and against the run of play in the 30th minute.
"I think we started really well and we were putting the under pressure," Italy captain Michele Lamaro said.
"They came back on the field after halftime with another gear and we couldn't hold them."
Moorby came of the bench to make his Test debut in the 31st minute and played a major role in the three tries the All Blacks scored in the first 11 minutes of the second half, which gave them a comfortable 33-10 lead.
Back-rower Anton Segner came on at halftime for his debut, to become the first player born in Germany to play for the All Blacks. His parents flew from Frankfurt to be present for the occasion.
Moorby broke off the left wing and combined with his Hurricanes teammate Cam Roigard to score two minutes after the resumption, before prop Ethan de Groot crashed over in his 42nd Test.
Finally Moorby outpaced the cover defence to set up Jordan's second try, which equalled the All Blacks record set by Doug Howlett. Jordan had the record on his own when he scored his third in the 54th minute, from Barrett's quick thinking at a tapped penalty.
"I think back to when I was a kid practicing my chip and chase in the back yard. To think I'd be here today, it's hugely humbling," Jordan said.
"I guess as a winger on the end of the chain I've been part of some great teams over the last seven years."
Italy, who lost their opening Nations Championship match last week to Japan in Tokyo, played much of the last quarter with 14 men after a yellow card against Niccolo Cannone for an attempted head butt on Roigard was upgraded to a red.