(CNN) -- Michael Lohan's fiancee accused actress Lindsay Lohan's father of attacking her at the New York home they share before he flew to Los Angeles for his daughter's court appearance this week.
Lohan, 50, was charged with second-degree harassment by Southampton police after Kate Major, 27, signed a sworn statement that accused him of threatening kill her, according to a police report.
Lohan denies the charges.
"My fiance, Michael Lohan, started a verbal argument with me because I didn't answer my cell phone when he called," Major's statement said. "Then he flipped the sofa chair over while I was sitting in it causing me to bump my head into the wall and my body to the floor.
"My left collarbone is sore and my right knee is scraped," she said.
Major also swore that Lohan threatened to kill her: "After he kicked me he said 'I am going to go back to jail because I am going to kill you!' "
She said Lohan's anger was sparked because "he is afraid I'm going to leave him."
The incident is said to have happened Monday afternoon at their home.
Lohan's attorney, Lisa Bloom, issued a statement saying that he is cooperating with investigators and that he expects to be "fully vindicated."
"Michael Lohan 100 percent denies each and every one of Kate Major's allegations," Bloom said. "He has never threatened to harm her, never assaulted her, and never physically abused her in any way."
Bloom said Major "was heavily intoxicated during the verbal argument."
She downplayed the seriousness of the charge, calling it "a violation, not a crime," and is usually "resolved by the payment of a fine of up to $250."
"Second degree harassment is the lowest level charge that can be brought in connection with an alleged domestic violence incident, when there are no substantial physical injuries alleged, which is the case here," Bloom said.
Lohan was in Los Angeles, California, on Tuesday morning when his daughter turned herself in to start serving a jail term for a probation violation relating to a 2007 drunken driving conviction.
A judge scheduled a hearing for Michael Lohan for August 18.
CNN's Brittany Kaplan contributed to this report.