John Edward Donnelly, 64, arrived in the district 20 days ago and rented a vacation apartment.
His body was found naked in the apartment with stab wounds in his back at 2 p.m. after his neighbors saw a bloodied knife in front of the building and notified the police.
His dead body was sent to the forensic medicine institute in Muğla for an autopsy after examinations, which revealed that a struggle between the killer and the victim took place.
Video footage obtained from nearby security cameras showed two men leaving the building. The residents of the building told the police that they didn't know who those people were.
The police were working to apprehend the suspects involved in the murder.
An investigation into the incident was ongoing.