Latham takes over the captaincy from Kane Williamson, who will miss the first two matches with a shoulder injury. Tom Blundell will make his ODI debut as Williamson's replacement at No. 3 in the batting order.
Allrounder Jimmy Neesham rejoins a lineup which includes two spinners — Ish Sodhi and Mitchell Santner — and seamers Tim Southee and Hamish Bennett.
New Zealand is on a nine-match losing streak across all formats, having lost the Twenty20 series to India 5-0.
Mayank Argarwal and Prithvi Shaw will open the batting for India in their one-day international debuts, replacing the injured Rohit Sharma and Shikhar Dhawan.
Kedar Jadhav will play ahead of Manish Pandey while left-armer Kuldeep Yadav returns to India's lineup.
New Zealand: Martin Guptill, Henry Nicholls, Tom Blundell, Ross Taylor, Tom Latham (captain), Colin de Grandhomme, Jimmy Neesham, Mitchell Santner, Tim Southee, Ish Sodhi, Hamish Bennett.
India: Mayank Agarwal, Prithvi Shaw, Virat Kohli (captain), Shreyas Iyer, K.L. Rahul, Kedar Jadhav, Ravindra Jadeja, Shardul Thakur, Kuldeep Yadav, Mohammed Shami, Jasprit Bumrah.
Umpires: Langton Rusere, Zimbabwe, and Shaun Haig, New Zealand.
TV umpire: Bruce Oxenford, Australia. Match referee: Chris Broad, England.