Dixon, 24, was charged with resisting an officer without violence to his person. He was released on $1,000 bail.
The Saints declined comment, but said NFL security is looking into the incident.
Dixon was pulled over for traffic violations while riding a motor scooter at 11:30 p.m., according to the police report. He was traveling down the center of the road between the northbound and southbound lanes and swerved in front of a car, causing it to stop abruptly.
Officers then said he became "belligerent" and "antagonistic," saying, "You're seriously going to give me a ticket for that? I'm making a U-turn!" and later saying, "You're just doing this because I'm a black man with dreads and I look like a criminal. I'm not a criminal!"
Dixon also received two traffic citations for operating between lane/vehicle and driving on wrong side/lane of roadway.
Dixon made the team as an undrafted free agent last year.
He appeared in all 16 games and had 18 tackles and one pass defended.
ESPN.com Saints reporter Mike Triplett contributed to this report.