Bryant must attend weekly counseling sessions and be accompanied by a team security detail if he is out after midnight, the Fort Worth Star-Telegram reported.
In July, the wide receiver was suspected of assaulting his mother. His lawyer, Royce West, denied the allegation and Bryant's mother declined to press charges.
The Dallas County district attorney's office has yet to decide whether to pursue a misdemeanor family violence charge against the former Oklahoma State standout.
Bryant was forced off his collegiate team after lying to the NCAA about a dinner he had with former Cowboys great Deion Sanders.
His draft stock plummeted and since joining the Cowboys he has had a string of encounters, including a training camp dust-up with veteran receiver Roy Williams after refusing to carry Williams' pads after practice.
Bryant's mother has had her own problems, including jail time for selling crack cocaine, ESPN reported.