Chasing a daunting 180-run target, England came close with Eoin Morgan (71 not out) and Alex Hales (68) putting on a resolute 107-run partnership for the third wicket but in the end they fell short.
England had lost Craig Kieswetter and Luke Wright for first over ducks but Hales, who hit five boundaries and two sixes off his 51 balls, and Morgan’s 36-ball knock, with five sixes and four boundaries, defied West Indies's four-pronged spin attack.
West Indies were set on their way for a big total by openers Johnson Charles and Chris Gayle.
Charles smashed three sixes and 10 well-timed fours in his 56-ball 84 while Gayle hit four sixes and six fours in his 35-ball 58.
Photos: 'Dangal' girls Sanya Malhotra, Fatima Sana Shaikh's dinner outing
Photos: Salman Khan, Daisy Shah spotted at the Mumbai airport
Photos: Rakhi Sawant to play Honeypreet in Ram Rahim biopic
Photos: Arvind Kejriwal asks Kamal Haasan to join politics
Photos: TV actress who played goddesses on the small screen