Last year, the Kiwis had stretched the home side to the hilt, only to lose the decider in Vishakapatnam and go down 2-3.
This is also the first-ever day-night ODI to be played at the Green Park.
The Black Caps enjoyed a substantial second-wicket partnership of their own as Colin Munro and Kane Williamson put on 109 in 19 overs, but Yuzvendra Chahal removed both in quick succession to leave them 168 for three.
After the ODI series, the two teams will be locked in a three-match T20I series.
"I think our middle-order with the bat was something of a highlight throughout the series", Williamson said after New Zealand fell agonisingly short of their first bilateral series win on Indian soil.
The move to play Tom Latham down the order worked well in Mumbai as the left-hander forced the Indian wrist spinners to change their length.
Spinner Mitchell Santner will be the key to halt the flow of runs for India in the middle overs. The rise of Hardik Pandya as an allrounder has provided the side with options. The new-ball attack led by Jasprit Bumrah and Bhuvneshwar Kumar has been a revelation.
In this decisive battle, there was a huge dent in the security circle inside the stadium when one of the fans reached the ground wearing a Jersey named Kohli with tricolour and tried to approach Virat Kohli on field.
The diminutive leg-spinner was at his best for the entire series but he peaked at the flawless time for the hosts as he ended with figures of 47 runs for 2 wickets in 10 overs.
Security lapse in Kanpur: Hardik Pandya lost his wicket because of Virat Kohli's century.