Jasprit Bumrah celebrates after taking the wicket of Daryl Mitchell (L) during the fifth T20 cricket at the Bay Oval in Mount Maunganui on Sunday. AFP
For the third match in a row New Zealand seemed to be coasting to victory before India, led by Bumrah, dragged themselves back into the match and won in a gripping finish.
"The match got close at one point but we had the belief in ourselves that we could squeeze in one or two good overs and the match could get close," Bumrah said. "It was windy and we were trying to use the wind, use the longer side of the boundary and we had good communication out there."
India made 163-3 batting first, a moderate total in good batting conditions, and New Zealand was 116-3 in the 13th over before it again self-destructed and lost six wickets for 40 runs to finish 156-9 after 20 overs.
The third and fourth matches were also New Zealand's to win before India forced them into Super Overs then snatched victory in the tie-breakers.
New Zealand seemed even more well-placed to win on Sunday when Ross Taylor and Tim Seifert made half centuries in a 99-run partnership for the fourth wicket to put the home team in a commanding position.
New Zealand needed 24 off the last two overs and 20 from the last, far beyond the abilities of its tail-enders.
Ish Sodhi hit two sixes in the final over, bowled by Shadul Thakur, but New Zealand couldn't reach its winning target.
The teams now meet in three one-day internationals starting on Wednesday and two Test matches.
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India reached 257 for six at stumps in response to England's 578 in Chennai. Washington Sundar, on 33, and Ravichandran Ashwin, on eight, were batting with an ubroken stand of 32. India need another 122 to avoid the follow-on.
New Zealand enjoyed the greatest triumph in their cricket history as they beat India by eight wickets in the inaugural World Test Championship final at Southampton on Wednesday.
Match referee Chris Broad, however, has a special dispensation to extend this final into a sixth day — men's Tests usually only last a maximum of five days — if he feels that will compensate for time lost in the game.
Sheikh Abdullah Bin Hamad Bin Saif Al Sharqi, Chairman of the Emirates Bodybuilding and Fitness Federation, Anis Binous, Chairman of the Organising Committee, and a number of dignitaries attended the final of the three-day championship, which was held at Binous Gym.
The seventh-ranked Jabeur, a three-time Grand Slam finalist, saved her best performance of the tournament for the final and raced to victory in 78 minutes.
Chasing 346 for victory, New Zealand lost an early wicket before Ravindra (97) and Williamson (54) put on 137 to put their team on course and they achieved the target with 6.2 overs to spare in Hyderabad.