Eoin Morgan hit his tenth ODI hundred to help England post what proved to be a match winning total of 296/6 in their fifty overs.
They gain a 45-run win over West Indies in the first one-day international in Antigua.
Morgan's 107 from 116 balls and fifties from Ben Stokes and Sam Billings took England to 296-6 from 50 overs, after Jason Roy and Joe Root fell early.
The century was Morgan’s fifth as skipper setting a new record for the most hundreds scored as captain of England in ODIs.
West Indies slipped from 36-0 to 39-3 in their chase and came up short despite Jason Mohammed's 72.
Liam Plunkett took 4-40, his best ODI figures, and Chris Woakes 4-47.
It was a fine performance by the tourists after losing the toss and being asked to bat first on a pitch that was initially slow with rain delaying the start by 30 minutes.
The second game in the three-match series is at the same venue at 13:30 GMT on Sunday.