"Yes, it's true. She did get married this weekend," a rep for Kim, 36, tells E! Online.
In a 2007 interview, Kim told PEOPLE she had grown to love Hawaii, where the hit ABC show is filmed. "It truly is a magical place," she said. "I feel at home."
The E! report says Kim was actually shooting some of her final scenes for Lost (which is in its final season) in Oahu on Saturday, the day before her wedding.
Kim was born in Seoul but grew up on Staten Island. Park is her former manager.