The woman, whose license was partially found in the American's rented apartment, was reported missing by her mother on February 17, sparking the police investigation.
The arrest comes four months after Japan was transfixed by another grisly case, in which the dismembered bodies of nine people were found in coolers and other containers, in some cases covered in cat litter.
Investigative sources say that on February 16th, the suspect and the woman were seen entering a building together in Higashinari Ward, Osaka, where he was staying. Sources cited by Kyodo said a large amount of air freshener had been used inside the apartment but no blood had been found. The family of a woman reportedly told police she was missing since her date with an American. Finally, two legs were found in a wooded area in Kyoto.
Police found Bayraktar, who was staying in the Higashinari condo unit, in Nara and attested him on suspicion of confining the woman. However, the woman was not found inside.
Bayraktar was seen on the on security footage later that day leaving the apartment several times with a suitcase. At the vacation home rental, authorities discovered the severed head of the woman, who has not yet been identified, inside of a suitcase.
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The pair reportedly met on a "social networking site" before making plans to arrange a trip, the woman informed one of her friends prior. Asahi.com reports that the man was already in custody after the woman, a 27-year-old office worker, disappeared. "It became impossible to locate the woman as the battery on her mobile phone went dead afterward", reported Asahi.com.
On Monday reporters from a flurry of news stations from around the world were on the block of Mastic Beach in Long Island where Bayraktar lived.
He had taken several other women to the same condominium, but police have confirmed that none of them have been harmed.
Police refused to confirm he had been arrested.