The World Test champions will face the Black Caps in the first test in Wellington starting at the end of the month and Christchurch from March 8 to 12.
"It's great to see Michael Neser get another opportunity in the squad following his ever-consistent performances over a long period of time," chief selector George Bailey said in a news release.
"We expect this tour will be a tough challenge against a very strong side who have been so consistent at home for a long period of time."
Neser looks unlikely to win his third cap unless there is an injury to the first-choice pace trio of skipper Pat Cummins, Mitchell Starc and Josh Hazlewood, who played all five tests against Pakistan and West Indies.
Australia swept Pakistan 3-0 over the New Year but tied the series against West Indies 1-1 after a stunning upset in the second test in Brisbane.
Matthew Renshaw retained his place as the back-up batter in the 14-man squad but all indications are that Steve Smith will retain his spot at the top of the order with Usman Khawaja - a partnership formed after the recent retirement of David Warner.
Squad: Pat Cummins (captain), Scott Boland, Alex Carey, Cameron Green, Josh Hazlewood, Travis Head, Usman Khawaja, Marnus Labuschagne, Nathan Lyon, Mitchell Marsh, Michael Neser, Matthew Renshaw, Steve Smith, Mitchell Starc.