“Tyrus denies the allegations in the lawsuit and will be defending it vigorously,” Mr. Clare said. “He looks forward to having a public forum in the court system to clear his name from the smear campaign that has been waged against him in the media. Tyrus will be pursuing defamation counterclaims.”

Fox News said in a statement that it had investigated Ms. McHenry’s accusations, including when she filed similar allegations with the New York State Division of Human Rights in October.

“The lawsuit recycles the same allegations,” the network said, adding: “As we have previously stated, Ms. McHenry’s allegations have been fully investigated and we are confident our actions will be deemed entirely appropriate in litigation. We expect all of her claims to be dismissed.”

But in her suit, which requests a jury trial, Ms. McHenry said the investigation into her claims had also been marred by sexual harassment. She said an investigator told her on two occasions in September that she was “really pretty,” and said to her, in reference to Mr. Murdoch, “Come on, you didn’t know you were leading him on?”

“After payouts of over $100 million in recent sexual harassment scandals, Fox News publicly says it now has ‘zero tolerance’ for sexual harassment,” the lawsuit says. “This is a dangerous lie. In practice, Fox News remains a sanctuary for sexual harassers, coddling and enabling the men who abuse female employees.”

Court documents filed on Tuesday outline what Ms. McHenry described as “volatile and unpredictable behavior at work” from Mr. Murdoch, including temper tantrums and fits of shouting in addition to inappropriately sexual text messages.

“I love ponytails and braids you look amazing and it’s a real turn on not that you care but I love it,” Mr. Murdoch wrote to her on Oct. 31, 2018, the suit claims. Two days later, he sent her an expletive-laced series of messages about her legs.