According to the police report, Jones was arrested on one count of assault for punching a female patron outside of a downtown bar.
Jones' agent, Peter Schaffer, told ESPN NFL Insider Adam Schefter that Jones was approached by two intoxicated women who wanted to have their picture taken with the football player last Wednesday. When Jones refused, one of the women threw a beer bottle at him and Jones responded by slapping her.
Jones turned himself in Monday afternoon and was released on his own recognizance. He is scheduled to be arraigned Tuesday.
Jones had attended the Cincinnati Reds' game that night with several teammates, according to Schaffer.
"Just got arrested for protecting myself, I will not let this break me or change what I have work so hard for," Jones wrote Monday on Twitter.
Bengals spokesman Jack Brennan told ESPN, "we don't feel it's appropriate to comment on unresolved legal matters."
The team begins a three-day mandatory minicamp Tuesday and Jones is expected to participate.
NFL spokesman Greg Aiello told ESPN, "we're aware of it and will review the facts at the appropriate time."