Munro teamed with Martin Guptill at the top of the order, enjoying a 105-run partnership to start the innings, before Guptill fell for 45 in the 12th over.
Black Caps captain Kane Williamson is delighted with the result.
Boult started off the India tour with a bang with impressive performances in the opening two ODI matches but has since then gone off the boil a fair bit after having his worst ODI and T20I outings.
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The Kiwis, who had lost the first match by 53 run in New Delhi, have now levelled the three-match series at 1-1. But we were left with a very hard task. "The ball got scuffed up", he added.
The Indian vice-captain was caught behind after attempting to glide Boult's delivery down to third-man. MS (Dhoni) was very good in the end, but we left ourselves (with) too much to get. Now gets Sharma and the BLACKCAPS have both openers. Ashish Nehra obviously not part of the side now, Mohammad Siraj comes in.
And it proved to be so as Kohli stepped out to Santner for a mighty heave and edged to the New Zealand keeper and India's task became even more hard at 123 for 5 with 21 balls remaining.
Talking about the Indian playing XI, the Men in Blue have decided to make just one change.
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Later, captain Williamson became the victim of the debutant and his Sunrisers Hyderabad teammate Mohammed Siraj to give the fast bowler his first global wicket.
Thanks to some excellent bowling from Bhuvneshwar and Jasprit Bumrah, who evoked circumspection from the likes of Guptill and Munro, India was able to keep the New Zealand total under 200.
Chahal was brought on by Kohli in the fifth over of the batting power play and was welcomed to the crease with two huge sixes and a boundary by Guptill's bat.
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To go with that, Kohli boasts of the highest average (54.06) among all the players who have scored more than 1,000 runs in T20Is.