Sri Lanka captain Kumar Sangakkara won the toss and invited the visitors to bat first. But the weather allowed just 103.3 overs for the entire match, during which the West Indies scored 303-8.
Persistent rain on Sunday forced Australian match referee Alan Hurst to call off the day without a ball being bowled at Pallekelle International Stadium.
Darren Bravo top-scored with 68 and Brendan Nash made 67, while Sri Lankan spin bowler Rangana Herath returned the best bowling figures 4-51.
The entire series has been hit by bad weather as a total of 694 overs have been lost, which is over seven days of play. The series is the worst hit by rain in Sri Lanka.
West Indies captain Darren Sammy said he was happy with the team's performance despite rain spoiling the series.
“When we left home, we said we will settle for a draw if not a win,” Sammy said. “Despite the weather, which has been totally out of our control, the one Test match where we had five days of cricket we basically dominated.
“We have lot of positives after the Test series and looking to build for the future.” West Indies drew an inaugural one-Test tour to Sri Lanka in 1993 but were thrashed 3-0 in two subsequent tours.
The five-match one-day international series starts in the southern Suriyawewa stadium on Thursday.
