Former England international Mike Atherton described them as a "humble, hardworking and outstanding Test team - worthy champions", while former Kiwi cricketer Scott Styris tweeted it was a "sensational performance".
'Classy skipper Kane Williamson deservingly walked away with title'
Times of India praised Williamson's leadership and reflected on how things have turned around for the team since World Cup heartbreak.
"Perhaps the cricket Gods wanted a course correction for Williamson and his men, who were left high and dry during that evening at the Lord's where a twist of cruel fate and horrible rules robbed them of deserving glory in the 2019 World Cup."
The Telegraph commended New Zealand's discipline and dominance.
"It was the concerted effort of cricket in New Zealand that has overcome the disparity in income and population to produce a team built on the collective and beat India's superstars."
It also pointed out the rise of Kyle Jamieson.
"A new star has been born in Kyle Jamieson, man of the match for his seven for 61 from 46 overs of relentless examination of Indian techniques.
"Jamieson bowled two heroic spells on Wednesday of two for six in seven overs before lunch, landing the big ones of Virat Kohli and Cheteshwar Pujara."
'New Zealand rule the world with victory for small guy'
Writing in The Times, Atherton said "Kane Williamson's New Zealand are the world Test champions. Sounds good, doesn't it? A team who play with character, style and grace and who have suffered some agonising near-misses in ICC events, stand tall as champions of the long-form game, having beaten their more fancied opponents, India, on a day filled with tension as time and overs ticked away ...
"Other than the small matter of more than a billion India cricket supporters, it is a victory that will be well received around the cricketing world. This is partly because of the popularity of Williamson and his players, now everybody's second favourite team, but also because their competitiveness shows there is a place for a well-run, well-drilled outfit regardless of the disparity of wealth or resources. It was a victory for the small guys."
'New Zealand Defy Size With Sheer Class And Power'
Meanwhile, NDTV Sports reflected on New Zealand's initial label as the underdogs for the Test Championship.
"Few cricket lovers would begrudge New Zealand, a country with a population of around five million compared with cricket powerhouse's India's 1.3 billion, their success.
"They entered a final worth $1.6 million to the winners, hardened by a recent 1-0 series win in England, while India were playing their first Test since March," it read.
The greatest day in NZ cricket history. So stoked for our world champion @BLACKCAPS.🏆 Kane & @RossLTaylor bringing it home was fitting. Great idea having a 6th day. Whoever thought of that, give them a pay rise. And Kyle Jamieson receiving man of the match barefoot. 😍