According to information from the interior ministry of the Central Bosnian Canton, the car bomb, parked in a parking lot in the vicinity of the police station, exploded shortly before 5 am Sunday.
The policeman, who lost his life in the incident, was on duty in the station.
The police station and surrounding buildings were damaged.
According to local media, the police have already arrested five people on suspicion of their involvement in the Bugojno incident.
An investigation is going on.