Police in Lafayette said Smith and his wife, Racquel, were involved in an argument while leaving a nightclub at 2 p.m., that officers saw the argument escalate, then saw Smith grab his wife by the hair. Police Cpl. Paul Mouton said in a press release that Racquel Smith suffered minor injuries.
In his statement, issued by the Saints, Smith said he and his wife were visiting her family for the holiday weekend, and that "my wife was not injured as reported, and this was not a domestic issue. I am confident that the legal process will bear this out.
"Both Racquel and I look forward to having the legal process play out and will cooperate fully. Until then, and based upon legal counsel, I will not be able to make any further comment on this matter. Racquel and I are both extremely thankful to everyone that has offered support through this trying time."
The Associated Press contributed to this report.