After being sent in to bat at the toss, Abhishek Sharma struck 84 from 35 balls as India scored a mammoth 238-7 in their 20 overs.
It was a tail of two halves for the hosts as Abhishek gave them a quick start before Rinku Singh finished off the innings with a brutal 44 not out off just 20 deliveries.
Jacob Duffy was the best bowler on display for the Black Caps with the seamer returning more than respectable figures of 2-27 in his four overs.
The visitors were always going to be up against it chasing the huge total but Glenn Phillips showed good fight with 78 off 40 balls as his team eventually reached 190-7.
Mark Chapman chipped in with 38 while Daryl Mitchell, coming off a player-of-the-series award in the ODI series, scored 28.
It was though all a futile effort with the bat from New Zealand as India just piled on too many runs in the first innings.
India spinner Varun Chakravarthy again demonstrated why he will be key player at the T20 World Cup with figures of 2-37 in his four overs.
The second game of the five-match series will take place in Raipur on Friday.
New Zealand put in a much improved display to beat a India by 50 runs in the fourth T20I in Visakhapatnam but the tourists still find themselves 3-1 down in the series with one game remaining.
Former India head coach Rahul Dravid says the lack of preparation for Test cricket has contributed to the team's recent struggles in the longest format of the game.
India's march through T20 cricket gathered fresh momentum in Guwahati as they crushed New Zealand by eight wickets to seal the series with two games to play, extending a remarkable run that stands at 11 straight T20I series or tournament victories.
India's explosive batting depth was on full display in Raipur as Ishan Kishan and captain Suryakumar Yadav dismantled New Zealand to secure a seven-wicket win in the second T20I and take a 2-0 lead in the five-match series.
