1:38 PM PT -- Russell tells TMZ, "I vehemently deny all the allegations made against me. They have shocked me to my core as I have never been abusive or violent in any way in my relations with women. I have submitted myself to multiple lie detector tests."

Simmons continues, "I denied forced sex and sexual harassment allegations brought against me in each test; I also answered no to the question, 'Have you ever physically forced any woman to have sexual intercourse?' I passed all of the lie detector tests."

A woman who claims she attended a concert with Russell Simmons claims the media mogul raped her, and she's suing.

The woman has filed as a Jane Doe and, in her suit, says she was chaperoning her son -- who was in elementary school -- at a hip-hop concert ... when Simmons approached and invited them backstage to meet the headliner. She says they accepted the offer, and afterward ... Simmons invited her to a party at the Clarion Hotel in the Los Angeles area.

She says she dropped off her kid, then hung with Simmons at a hotel bar and a nightclub. According to the suit, obtained by TMZ, he eventually told her he needed to go to his hotel room to "get something." She says when they got there, he closed the door and said, "I'm going to f**k you."

When she said no, she claims Simmons fired back, "I am going to f**k you or I'm going to f**k your son. You decide." In the suit, she says, Simmons then threw her on the bed and raped her.

She's says at least one person in the hotel saw her leave Simmons' room in tears. She's suing for at least $10 million. Daily Mail first reported the lawsuit.

As we've reported, more than a dozen women have accused Simmons of varying forms of sexual misconduct. Jennifer Jarosik filed a $5 million suit against him in January ... also for rape.