Pollard smashed five sixes in his 94 off 55 balls and Devon Smith recorded his first career century as West Indies made a late charge after Irish captain William Porterfield decided to send them in.
Kevin O'Brien took career-best bowling figures of 4-71 to slow West Indies after Smith's 107 had inspired a solid start from the Caribbean team, which was without injured opening batsman Chris Gayle.
Pollard then powered to his best ODI score, sharing an 88-run partnership with Smith on the way, to set Ireland a challenging total in the Group B match.