The 22-year-old woman told deputies that Quinn also grabbed her cell phone. She says she ran to another house in the suburban Denver neighborhood to call police.
Deputies say Quinn told them he grabbed the woman only after she started hitting him in the face, but had no visible marks on his face.
Team spokesman Patrick Smyth says the Broncos have no comment on Quinn's arrest.
Quinn was being held in jail without bond. He was due in court Tuesday morning.
A second-round pick out of North Carolina, Quinn played in all of the Broncos' preseason games.