The deceased have been identified as Orlando Tavares and Vincent Murray, both of Crawl in Hanover.
According to reports, the police were conducting spot checks in Crawl district between the hours of 8 pm and 9 pm, just outside of Green Island, when they heard gunshots coming from the direction of two approaching motorcycles.
The police allegedly returned the fire, hitting two men on one of the motorcycles. The two travelling on the other bike reportedly escaped.
The two injured were taken to hospital where they were pronounced dead.
A firearm was reportedly recovered from the scene.