Jason Roy and captain Joe Root both smashed centuries as the tourists easily reached their target of 361 with eight balls to spare in Barbados.
It was their highest ever run-chase in the format.
Chris Gayle's innings of 139 off 129 balls went in vain as the Windies' poor form in ODI cricket continued.
The second encounter of the five-match series will be played on Friday.
McIlroy set for Dubai return at DP World Tour Championship in November
Seven-time Race to Dubai champion Rory McIlroy will tee it up at the DP World Tour Championship from November 12-15 at Jumeirah Golf Estates in Dubai, as he bids to draw level with Colin Montgomerie's record haul of eight Harry Vardon Trophies.
Kaur steps down as India women's team captain
World Cup-winning skipper Harmanpreet Kaur announced on Tuesday her decision to step down from her role as captain of the Indian women's team in all formats.
Gauff hits out at racist abuse after replayed point in Beijing sparks backlash
Coco Gauff said she had received an "insane" amount of racial abuse on social media after the two-times Grand Slam champion beat local teenager Sun Xinran at the China Open on Monday in a match where a replayed point sparked an online backlash.
France come from behind to thrash Belgium
France came from a goal down to beat Belgium 4-1 in their Nations League Group A1 meeting at the Stade de France on Monday, while Italy secured a 3-1 win over Turkey, their third consecutive match without a loss.
Medvedev disqualified from China Open semi after hitting ball into crowd
Russian Daniil Medvedev was disqualified from his China Open semi-final clash with Novak Djokovic after hitting a rebounding ball into the crowd, striking a spectator in the eye.
