Virat Kohli (81) played a stellar hand in first partnering opener Parthiv Patel (56) for 120-run second wicket stand and then withstanding the little tremor induced by the rain breaks.
Chasing 241 to win, India were 100 for one in 22 overs when a sharp passing shower made the square unfit to play for 85 minutes. The rain break reduced the visitors innings to 37 overs and the target was revised to 183, implying they needed 83 runs from 90 deliveries.
India achieved the target comfortably losing the wickets of Parthiv Patel (56) and Virat Kohli (81) in 33.4 overs.
Earlier, India restricted West Indies to 240 for nine after skipper Suresh Raina won the toss and elected to field at the Queen`s Park Oval.
Amit Mishra (4/31) and Munaf Patel (3/35) struck in the late moments to stop the runflow and trigger a collapse after the Caribbeans went off to a good start.
For the hosts, Ramnaresh Sarwan (56) and Lendl Simmons (53) cracked individual half-centuries up the order but their middle-order crumbled, slipping from 175 for three in 34 overs to 229 for nine in 48.5 overs.