A police statement said officers Edward Gibson, Shaun Ganness and Ruddy Felix were arrested and charged Sunday in the beating death of 39-year-old Oscar Bartholomew of Toronto.
Bartholomew was visiting the eastern Caribbean country last week to see family.
Relatives have accused a group of officers of beating Bartholomew into a coma last Monday, he later died of his injuries.
They say it happened after he mistook a plainclothes female police officer for a friend and lifted her for a hug in front of a police station.
The Sunday arrests brought the number of police suspects to five. Officers Kenton Hazzard and Wendell Sylvester were charged last week.
The suspects are due to appear before a judge on Tuesday.