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The star, who plays Jin-Soo Kwon in the hit TV show, was arrested at 3am on Thursday, according to the Honolulu Advertiser.
Kim has not commented on his arrest and no details have yet been released by the authorities.
The TV star was booked at the local police station and released just after 5am on bail. He departed the station in a silver SUV with two police officers escorting him off the premises.
Michelle Rodiguez and Cynthia Watros, who also star in Lost, have been arrested for the same charge on the island in the past.
