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New Zealand, chasing a first home win over their neighbours in 31 years, had put the tourists on the back foot with four wickets in the last 90 minutes of play on day three.
India have won all nine of their group matches, including a four-wicket win over New Zealand.
Sri Lanka would have qualified for the WTC final if they had swept New Zealand in their two-match series and Australia denied India victory in the ongoing fourth test in Ahmedabad.
It was only the fourth win in the history of Test cricket by a team asked to follow on.
New Zealand never got going in the huge chase as Indian bowlers performed in unison to bowl out the visitors for a mere 66 in 12.1 overs, the third lowest score for the Kiwis in this format.
After taking charge in 2016 Williamson captained New Zealand in 40 Tests - with 22 wins, 10 defeats and eight draws.
New Zealand inserted India to bat after winning the toss but only 12.5 overs could be possible as twice the game had to be stopped due to rain.
Chasing 164 against New Zeland, Pakistan's middle order came good to secure victory with three balls to spare and clinch the tri-series which also included Bangladesh.
In the first ODI in Cairns, Australia secured a 2-wicket win.
The autobiography also made headlines after Taylor claimed he experienced racism during his 16-year career with the New Zealand team.