Skipper Mahendra Singh Dhoni (35) and Suresh Raina (45) played composed knocks to ensure victory.
Playing after a gap of two months, the Indian team got off to a great start through the bowlers.
After India got to bowl first in the flat track, Nehra showed his old artistry with the ball to wreck the New Zealand innings.
Nehra, who came back into the team this year after four years, became 'Man of the Match'. He struck with the second ball of the innings trapping Jesse Ryder leg before. The lanky fast bowler struck another blow, removing Brendon McCullum, plumb in front.
R.P. Singh had Ross Taylor caught behind and New Zealand were soon three wickets down with only 19 runs on the board.
Martin Guptill (22) and Grant Elliott (22) tried to stem the rot adding 22 runs, before Yuvraj claimed Guptill with Dravid taking a low catch.
New Zealand batsmen got the start with five batsmen getting out in the 20s but could not forge a big partnership. They were struggling at 66 for five.
Vettori (25), Jacob Oram and Neil Broom (24) showed some resistance, albeit for a brief period.