Detectives didn't have to go far to find 32-year-old Owen Patrick Harbison.
He was already in the Oahu Community Correctional Center for unrelated warrants when arrested on Wednesday for allegedly using the millionaire golfer's credit cards.
Police said there is no kidnapping investigation.
Allenby says he could not remember leaving the Amuse Wine Bar in Waikiki late on January 16 and blacked out for about 90 minutes.
He claimed to have been kidnapped, robbed, thrown in the boot of a car and dumped in a park 10km away and then rescued by a homeless woman, Charade Keane, and an unnamed retired US military man.
Keane refuted his story, telling reporters she found Allenby near the wine bar.
Detectives analysed video security footage from shops to identify Harbison.
"He made purchases throughout the Honolulu area at various retail and convenience stores," Honolulu Police Department's Lieutenant John McCarthy told reporters.
"There were various items that were purchased, some of which we actually recovered."
Police did not say the value of items unlawfully purchased on Allenby's credit cards, but said it was less than $US20,000 ($A25,945).
Harbison was charged with three counts of second-degree identity theft, three counts of second-degree attempted theft and one count of unauthorised possession of confidential personal information.
He will appear in court next week.
Harbison has six convictions on his criminal record, including petty theft, with the latest a drug violation that resulted in a 133 day jail sentence and four years' probation.
He is being held on $US100,000 bail for the Allenby charges.
Allenby was in Hawaii in January to play the PGA's Sony Open, but when he missed the cut after two days' play he went out on the Friday night with friends to the wine bar.
When Allenby told the media about being kidnapped his face was badly cut, bruised and swollen.
Homeless man Chris Khamis said he did not see anyone beat Allenby and claimed the golfer kept repeating he was a millionaire and was waving around his American Express platinum card.
Allenby's facial injuries were self-inflicted when he fell on a lava rock, Khamis said.
