Chasing 144 for a win, India A were reduced to 23 for 3 in the eight over with Prithvi Shaw (6), Mayank Agarwal (8) and Shreevats Goswami (9) getting out cheaply.
But, captain Shreyas Iyer (37), Vijay Shankar (47 not out) and Deepak Hooda (37 not out) made substantial contributions to ensure that India A chased down the target with 25.2 overs to spare.
India reached 144 for 4 in 24.4 overs to win the match.
Earlier, Karn Sharma rocked the New Zealand innings with a five-wicket haul for 22 runs.
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Brief scores:
New Zealand A: 143 all out in 37.1 overs (Henry Nicholls 35; Karn Sharma 5/22).
India A: 144 for 4 in 24.4 overs (Vijay Shankar 47 not out, Deepak Hooda 37 not out; Ish Sodhi 2/31).