His attorney, Anthony Grandinette, did not immediately comment.
Prosecutors say Lohan called his 34-year-old girlfriend, Erin Muller, threatening to kill himself and her if she left him.
Lohan divorced Dina Lohan after a 22-year marriage in 2007. That same year, he was released from prison after serving nearly two years for attempted assault and driving while intoxicated.
The actress reportedly has no contact with her father.
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