Authorities say 24-year old Stoker Olukotun Williams of Bay Shore shot at the officers early Saturday morning, when they arrived at the MacArthur Inn in Bohemia to investigate a murder.
When officers arrived at the inn, they were directed to a room in the back. When they knocked on the door, police say Williams emerged with a gun, and started shooting. The officers returned fire, and the suspect fled to a wooded area.
Neither officer was wounded.
Inside the room, police found the body of 24-year-old Shalece Cunningham, of Bay Shore. She had been shot in the head. Two friends of the victim were also in the room, but were unharmed.
It is not clear if the suspect had a relationship with the victim.