Christin Myles, 24, has accused Marshall of striking her at a New York City nightclub early Sunday morning, adding to a long list of controversial incidents involving the wide receiver.
The Bears traded two third-round picks to the Miami Dolphins Tuesday for Marshall. News of the latest incident became public Tuesday night.
Myles, along with her attorney, Sanford Rubenstein, spoke with police Thursday in New York City. She alleged in a New York Daily News story that Marshall struck her in the face with a closed fist in an unprovoked attack, leaving her with a black eye and vision problems.
"I want him held criminally accountable for what he did to me," Myles told the Daily News.
Marshall's attorney, Harvey Steinberg, denies that Marshall or his friends were involved in a fight and contends he was trying to leave the club after a scuffle broke out and his wife was hit with a bottle.
Marshall, who was introduced by the Bears during a news conference on Friday at Halas Hall, said the police do not want to speak with him "as of right now," and he is not worried about being suspended.
"No fear at all. Once it has taken its course, I think you will see things totally different, and we're excited about the process," Marshall said. "We're excited about the direction it's going in. I understand and I get the perception out there. Those are the seeds that I've planted early on in my career up until last year.
"I'm not afraid. I've been here before but this time it's a little different and I'm excited about that difference."
"I know him as a person. I know him off the field, and I know what kind of guy he is and what he brings to the table not only on the field but as a person in the locker room," Cutler said. "As a citizen of the community, he's a special guy."
Bears general manager Phil Emery said Thursday that the team has been contacted by the NFL regarding the Marshall incident.
"It is a process," Emery said Thursday in a conference call. "The league has contacted us. We're in contact with the league. We're working through this process with them, along with ourselves and doing our own work. We will monitor the process and follow it through to its conclusion."
The Marshall trade was the first major move by Emery after replacing fired general manager Jerry Angelo, and it brought a go-to receiver to the Bears, who have not had a 1,000-yard receiving season since Marty Booker in 2002.
Marshall made the Pro Bowl for the third time last year with 81 catches for 1,214 yards and six scores. Since 2007, his first year as a regular starter, Marshall ranks second in the NFL in receptions with 474 and fifth in receiving yards with 5,938. But he has a long history of off-the-field problems.
The list includes a fight in 2007 in Denver that preceded the drive-by slaying of the Broncos' Darrent Williams. Last year, Marshall's wife was arrested after he was stabbed in the abdomen during a domestic dispute. Charges were later dropped.
In July, Marshall disclosed he was diagnosed earlier in the year with borderline personality disorder, which stems from such things as a negative self-image and a fear of failure. Then, at midseason, he said efforts to keep his emotions on an even keel have hurt his play, and before a Monday night game he claimed his goal was to get ejected before halftime.
"It affects every area of my life," Marshall said of the disorder. "On the field, it's made me a millionaire. It's made me one of the best receivers in the league. But off the field, it made me the guy that you guys are talking about on TV right now. That was the old me. That was me a year ago.
"To me I call it my gift and my curse because without that passion, without that intense approach to the game which comes from a lot of my pain, a lot of my anger, I wouldn't be here today."
Information from The Associated Press was used in this report.