Tom Latham plays a shot and celebrates his century against India during their first ODI match in Auckland on Friday. AP
Latham hammered 19 fours and five sixes in an unbeaten innings of 145 runs off 104 balls. It was his seventh ODI century and his highest score in the format.
The Black Caps were set 307 runs to win at Eden Park before Latham and New Zealand captain Kane Williamson put on a winning partnership of 221 runs.
Williamson finished on 94 not out as New Zealand went one up in the ODI series, having lost the Twenty20 series to India.
After being put into bat by New Zealand on Friday, India put up 306 and then did not allow New Zealand's openers to settle as the chase began.
Finn Allen and then Dean Conway edged shots to wicketkeeper Rishabh Pant.
Tom Latham, center, and Kane Williamson (R) make runs against India in Auckland. AP
India gave ODI debuts to pace bowlers Arshdeep Singh and Umran Malik, who celebrated with the wickets of Conway and Daryl Mitchell in quick succession as New Zealand laboured to 88-3.
However, it quickly turned into a miserable evening for India's bowlers. Williamson dug in with a superb array of shots, including a 79-metre six.
He was well supported by Latham, who grew in confidence as the pair broke the Indian bowling momentum and took New Zealand to the finish line.
Earlier, India's captain Shikhar Dhawan put on a superb opening partnership of 124 with Shubman Gill. Dhawan smashed 13 fours as he made 72 runs off 77 balls before being caught off the bowling of Tim Southee, who claimed his 200th ODI wicket for New Zealand.
India's run rate slowed as Pant and then Suryakumar Yadav were dismissed, leaving the visitors on 160-4. Shreyas Iyer steadied the innings with 80 runs, including four sixes.
Hamilton will host the second ODI on Sunday.
India cast aside talk of travel fatigue with half-centuries from Lokesh Rahul and Shreyas Iyer headlining an emphatic run chase to beat New Zealand with an over to spare
KL Rahul’s fifty coupled with tight bowling, led India to a facile seven-wicket victory against New Zealand in the second Twenty 20 match to take a 2-0 series lead on Sunday.
Jamieson’s (3-26) probing fuller length deliveries during a six-over spell in the first hour earned the tall fast bowler the wickets of captain Virat Kohli (44) and Rishabh Pant (4) on the third morning as India slumped to 211-7 at lunch.
On this occasion, plenty of surprises are in store for the fans. An interactive competition with the audience will take place, during which a variety of questions will be asked and cash prizes in the amount of Dhs5,000 will be awarded to the winners.
Balooshi leads the rankings by a single point over two of his competitors in this tournament, Portugal's Fabio Magalhaes and Poland's Konrad Dabrowski.
Cameroon finished third on four points, two points below second-placed Switzerland, who defeated Serbia 3-2. Brazil, who had already qualified, finished on top on goal difference with six points and will face South Korea in the last 16.