Asked to bowl, spin duo of Ravindra Jadeja and Suresh Raina exploited the low and slow conditions of the Nehru Stadium wicket effectively to bundle out West Indies for a meagre 211 in 48.5 overs.
Kohli then smashed 86 off 84 balls, while Rohit made 72 off 81 balls to help India chased down the target with consummate ease in 35.2 overs and take a 1-0 lead in the series.
India, however, received a jolt early on in their chase in the form of Shikhar Dhawan (5). Dhawan departed in the fourth over as he edged a back of a length delivery from Jason Holder to Johnson Charles behind the stumps with scoreboard reading 17.
But then Rohit and Kohli joined hands and shared a 133-run second wicket stand that came off just 130 deliveries to lay the foundation for an easy win.
Also Read
None of the West Indies bowlers seemed to create any trouble for Kohli and Rohit as both the batsmen adopted attacking approach from the onset to take the game out of the visitor's grasp.
Kohli was not to be left behind as he reached his half century in 58 balls with a single off Dwayne Bravo in the 24th over.
But just when it seemed the duo would take India home without any further damage, Rohit mistimed a pull to Lendl Simmons at deep midwicket off Ravi Rampaul's bowling in the next over.
Kohli, however, was in no mood to get bogged down by the dismissal as he continued his attacking game.