Chasing a herculean target of 250, Hope smashed 102 not out from 45 balls and received good support from Sherfane Rutherford, 84 off 37 deliveries, while Romario Shepherd provided the finishing touches with an unbeaten 34 from 13 balls.
The Windies chase started in disastrous fashion when they lost Kamil Pooran and Shimron Hetmyer in the first over from seamer Mayank Yadav to be 5-2, but remarkably still managed pull off victory with nine balls to spare.
Hope's brilliant knock included six fours and nine sixes as the visiting skipper peppered the boundary at the JSCA International Stadium.
Earlier, India had reached a total of 249-5 in their 20 overs in Ranchi with opener Sanju Samson top-scoring with 82 from 41 balls.
The innings was supplemented with further knocks from Ishan Kishan, 43 from 22, captain Shreyas Iyer, 40 from 18, and Tilak Varma with 44 not out off 18 deliveries.
West Indies spinner was by far the best bowler on show in the game, the spinner only conceding 24 runs in his four overs while taking three wickets.
Bhuvneshwar Kumar could be in line to make his first international appearance in four years after recalled to the India squad for the T20I series in New Zealand starting later this month.
Shreyas Iyer struck his maiden T20I century as India thrashed the West Indies by eight wickets with more than five overs to spare in the first game of the five-match series in Lucknow on Tuesday.
Abhishek Sharma has identified maintaining success after a major tournament triumph as one of India's biggest challenges as the team prepares to face the West Indies.
India captain Shubman Gill called on his side to raise their fielding standards and improve their bowling accuracy at the end of the innings after they lost the third ODI against West Indies in New Chandigarh.
