"O.J. Simpson has nothing on me," Michael Lohan allegedly told the family's security guard last year. "I know exactly how I'm going to kill (them). I know when I'm going to do it, and I'm going to enjoy it."
Divorce papers were filed last month by the 18-year-old star's mother, Dina Lohan, and allegations in them were published in Thursday's edition of the New York Daily News. Dina Lohan is seeking full custody of the couple's children, alimony and $1 million in damages.
According to the papers, Michael Lohan invoked the name of Simpson, the former football star acquitted of murder in the slayings of his ex-wife and her companion in 1994.
The documents also describe several instances in which Lohan, 44, allegedly beat his wife.
Michael Lohan's attorney, Dominic Barbara, did not return calls to the News seeking comment.
Lindsay Lohan is the star of such films as "Parent Trap," "Mean Girls," "Confessions of a Teenage Drama Queen" and "Freaky Friday."