Bryant turned himself in Monday afternoon to police in the southern Dallas suburb of DeSoto. His attorney, Royce West, says Bryant posted $1,500 bond after learning a warrant had been issued for his arrest.
West said he was gathering details of the allegations and declined to elaborate or comment. Dallas Cowboys spokesman Rich Dalrymple also declined to comment while the team gathered information.
DeSoto police said details would be released Tuesday.
Under state law, family violence is an attack or "a threat" of imminent harm against a member of a family or household. It's a misdemeanor punishable by up to a year in jail and a $4,000 fine.