Police said they received a report of gunshots a stone’s throw away from the Duncan Street Police Post.
When they checked they found a man of African descent lying in a pool of blood near a pan yard.
First responders cordoned off the area and crime scene investigators processed the scene.
The body was removed to the Forensic Science Centre in St James.
Pathologists would have to wait until the body is identified before any post mortem examination could be done.