The video, which was reportedly taken after Jones was asked to provide a videotaped message to a woman who was about to get married, shows the 75-year-old saying the following: "Jennifer, congratulations on the wedding. Now, you know he's with a black girl tonight, don't you?"
"That comment was inappropriate," Jones said in a statement Friday, according to the Dallas Morning News' David Moore. "It's not who I am, and I'm sorry."
In an email to the Dallas Morning News, former Cowboys cornerback Deion Sanders insisted Jones' comments weren't a reflection of his character.
"A joke that was intended to add humor at the request of a fan in a lighthearted moment was taken totally out of intent," Sanders said, per Moore. "I'm sorry we're in this state of mind as a country, but if you're looking for a racist, Jerry Jones is not that guy."