Kinsman has said Winston raped her in December 2012. A prosecutor decided against bringing criminal charges in the case.
In the lawsuit filed Thursday
, Kinsman alleges sexual battery, false imprisonment and intentional infliction of emotional distress.
Winston has said the sex was consensual.
CNN obtained the following statement from Winston's attorney David Cornwell.
"This stunt was expected," the statement said. "Ms. Kinsman's false accusations have already been exposed and rejected six times. This time will be no different. Mr. Winston welcomes the opportunity to clear his name with the truth. Mr. Winston is looking forward to the upcoming [NFL] draft. He will not permit this ploy to distract him as he begins the journey of fulfilling his lifelong dream of being a championship quarterback in the National Football League."
CNN doesn't normally identify the alleged victims of sexual assault; however, Kinsman revealed her name this year in a documentary about rape on college campuses.
Winston led the Florida State Seminoles to a national championship for the 2013 season and won the Heisman, given to the most outstanding collegiate football player. He is expected to be a top pick in the NFL Draft, which begins April 30.
"As for timing, we didn't want to wait until the eve of the draft or after he signed a contract," said Kinsman's attorney John Clune. "As soon as we finished the various motions briefing on the FSU case, we turned our attention to Jameis and got it filed."
Kinsman also sued the university
According to police documents in the rape case, Kinsman said Winston raped her after she had been drinking with friends at a bar in Tallahassee. She said an unknown man gave her a shot glass of liquid before they left the bar.
Kinsman also said she did not remember much of what happened next but that she remembered being in a ground-floor apartment, where Winston took off her clothes and had sex with her despite her objections, according to police documents.
Kinsman reported the alleged assault to FSU campus police that night. A month later, in January 2013, she told Tallahassee police that Winston was the attacker.
Tallahassee's interim police chief at the time, Tom Coe, said the woman "broke off contact" with investigators in February 2013 and didn't want to go forward with the case. The woman's family said a detective warned her attorney that Tallahassee is a "big football town" and that life could be miserable if she pursued the case.
Winston didn't play during the 2012 season but came to Florida State as one of the nation's top quarterback recruits, according to recruiting rankings.