Opener Mayank Agarwal was batting on 52 while Shreyas Iyer was not out on 7 as the hosts lost their way after a good start.
Ajaz Patel claimed all three wickets in the space of 15 balls as India slumped from 80/1 in the 28th over to 80/3 at the end of the 30th over.
Earlier, India skipper Virat Kohli won the toss and opted to bat first in the second and final Test of the series.
Brief scores: India 111/3 in 37 overs (Mayank Agarwal batting 52, Shubman Gill 44; Ajaz Patel 3/30) vsNew Zealand.
(IANS)