New York- The divorce battle between teen starlet Lindsay Lohan’s parents is heating up with accusations that her father terrorized the family – and invoked the name of O.J. Simpson in a threat to kill them, the Daily News has learned.The explosive charges paint a disturbing picture of the turmoil the 18-year-old “Mean Girls” and “Freaky Friday” actress endured at her family’s home in Merrick, L.I.

The allegations are contained in divorce papers that Lindsay’s mom, Dina Lohan, 42, filed against her estranged husband, Michael Lohan, 44, in Nassau County last month.

The most chilling is the claim Michael Lohan openly vowed to kill his wife and his children.

“O.J. Simpson has nothing on me,” he 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.”

Although Dina Lohan claims her husband is a philanderer, the divorce filing says he also told two family friends in the fall of 2003, “If I ever catch Dina with another man, O.J. Simpson will have nothing on me.”

Michael Lohan has been in and out of handcuffs in the last two years for a series of dustups with his family and others. But The News has learned the divorce papers contain shocking new claims:

Lindsay’s dad allegedly attacked Dina Lohan last May, trying to throw her down a flight of stairs and slamming her arm in a door. He then allegedly forced her into a basement and sodomized her against her will, though no police report was ever filed.

Two months later, he allegedly threw his body on the driveway in front of his wife’s car and screamed at their two youngest children, “If Mommy leaves Daddy, I’m going to hang myself in the garage.”

He allegedly stalked Lindsay and the rest of a family to a press junket in Los Angeles last April and made a huge scene at the Four Seasons Hotel. He chased one of the kids out of the hotel room, and another child and Lindsay’s publicist were so terrified they hid in a closet.

“If you don’t get your mother to ride in the f—ing car with me, I’m going to kill her!” he allegedly told one child.

When Dina went to Manhattan in September for a meeting with executives at Lindsay’s record label, her husband followed her – then tracked the group to the restaurant Cipriani, where he yelled that his wife was a “whore” and a “slut,” the divorce papers contend.

The filing does cite some of Michael Lohan’s well-documented troubles: his attack on a city sanitation worker, an assault on Dina Lohan’s brother at a family party, and several alleged violations of orders of protection.

But the documents contain many fresh allegations about Michael Lohan, dating back five years.

In March 2000, two years after Lindsay’s breakout performance in Disney’s “The Parent Trap,” her father allegedly choked his sleeping wife.

He’s also accused of hitting Dina Lohan in the face in the lobby of the Fontainebleu Hilton during a June 2002 family vacation.

In March 2004, he blew up at Dina Lohan, “violently seized” the children’s miniature Yorkshire terrier, shoved it into a cage and kicked it across the floor, his wife claims.

Dina Lohan, a former Radio City Rockette, is suing for divorce, full custody of the children, alimony and $1 million in damages.

A spokesman for Dina Lohan declined to comment on the claims contained in the divorce papers. Her husband’s lawyer, Dominic Barbara, did not return calls for comment.

But his client, who was arrested on a DWI charge Saturday after smashing up his car, spoke to ABC’s “PrimeTime Live” for an interview that airs tonight.

Michael Lohan defended his proposal for a reality TV show about the divorce, and denied Lindsay’s career is suffering because of his antics.

“She’s got more offers than ever now,” he said. “Don’t they say any publicity is good publicity? . . . People don’t want the good things, they want the dirt.”

Before anyone ever heard of Lindsay Lohan, her father, Michael, spent four years in federal prison on fraud charges. Here are some of his more recent legal scrapes:

Dec. 8, 2003: Lohan is arrested for attacking a sanitation worker who was blocking his car in Manhattan. He later pleads guilty and is sentenced to anger-management classes.

June 3, 2004: Cops arrest Lohan for assaulting his brother-in-law, Matt Sullivan, with a shoe at a family First Communion celebration on May 23.

June 29, 2004: He is busted for skipping out on a $3,384 bill at a Long Island hotel.

Nov. 13, 2004: Lohan allegedly violates order of protection by approaching Lindsay and her mom, Dina, at a soccer game.

Nov. 29, 2004: Cops are called when Lohan drives up and down Dina’s driveway.

Dec. 10, 2004: A judge sentences Lohan to 28 days in rehab and orders him to stay away from Lindsay and her family.

Feb. 19, 2005: Lohan is charged with drunken driving after he runs his car off the road and crashes into a telephone pole in Syosset, L.I.