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.
Sabalenka survives Noskova test to reach US Open semis
World number one Aryna Sabalenka survived her toughest test of the tournament to beat Wimbledon champion Linda Noskova 7-6(1) 3-6 7-6(10-7) on Tuesday and reach the US Open semi-finals for a sixth consecutive year.
Kane, Haaland, Messi on Ballon d'Or shortlist, Vozinha gets Yashin nomination
Harry Kane, Erling Haaland and Lionel Messi have all made the 30-man shortlist for the 2026 Men's Ballon d'Or, while Cape Verde's World Cup hero Vozinha has been nominated for the Yashin award, organisers France Football announced on Tuesday.
Zverev brushes aside Darderi to reach US Open quarter-finals
Alexander Zverev has put a slow start to his US Open campaign further behind him as the top-seeded German defeated Italian Luciano Darderi 6-2 6-2 7-6(3) on Monday and moved into the quarter-finals.
Gauff downs fellow American Jovic to reach US Open last eight
Fourth seed Coco Gauff has stayed on course for a third Grand Slam title after reaching the US Open quarter-finals with a 6-1 6-4 win over fellow American Iva Jovic at Arthur Ashe Stadium on Monday.
Liam Lawson to replace injured Isack Hadjar again in Madrid
Liam Lawson will race alongside Red Bull superstar Max Verstappen for this weekend's Spanish Grand Prix with Isack Hadjar still sidelined by a wrist injury.
