An officer responded to a residence in the Miami suburb of Davie around 4:15 a.m. and learned that Walton was in a dispute with a woman, according to a police report.
The woman has been pregnant for five weeks, the report said, and told Walton on Sunday that the baby was his.
"During the argument, Walton bumped (the woman) against a wall and hit her several times on the face and head. I noticed (the woman) had a swelling in her left eye," the responding Davie official wrote in his report. The victim's name was edited in the report.
Walton is charged with aggravated assault on a pregnant woman, the report said. Walton remained in the Broward County Jail pending a hearing Wednesday that will determine his bond status.
Walton's lawyer, Michael Gottlieb, said he spoke with his client on Tuesday. He told CNN: "I do not believe Mr Walton is guilty of the charges as alleged."
In a statement, the dolphins say they have abandoned Walton.
"We were introduced to the police issue earlier this morning regarding Mark Walton," said Dolphins general manager Chris Greer. "We hold our players to a high standard and take these issues very seriously. We will have no further comment at this time."
The Cincinnati Bengals selected Walton, who plays at the University of Miami, in the fourth round of the 201
In the last arrest, drugs and reckless driving charges were dropped in the case for legal basis; Walton received six months of probation for a weapons charge, which was taken down to a felony and he has been serving three weeks, Gottlieb said. The accusations of the incidents in January and February were dropped, the lawyer said.
CNN cannot independently confirm the decisions in the three cases.
He shut down, thanking the Dolphins for the opportunity and promised" to make the most of this chance as a man and a player when he returns. "
Jill Martin and CNN's Amanda Watts contributed to this report.