Kohli then smashed 86 off 84 balls, while Rohit made 72 off 81 balls to help India chase down the target with ease in 35.2 overs and take a 1-0 lead in the series.
Kohli decorated his knock with nine boundaries and two huge sixes, while Rohit's innings was laced with eight hits to the fence and one over it.
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.
None of the West Indies bowlers seemed to create any trouble for Kohli and Rohit as both batsmen adopted an attacking approach from the onset to take the game out of the visitors' grasp.
Rohit brought up his 19th ODI fifty off 53 balls as India reached the 100-run mark in 15.3 overs.
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.