TMZ described the fight as a "chair-tossing brawl," in which one Fatburger employee suffered a large slash to his back.
In video of the incident, Mayweather can be heard shouting, "Control yo b**tch."
T.I. was reportedly upset about a May 5 Instagram photo of his wife, Tameka "Tiny" Cottle, posing with Mayweather.
"There's nothing like being surrounded by 'THE BEST EVER!!! Champion sh*t," she captioned the post.
Over the holiday weekend, Cottle posted another photo of herself with Mayweather's daughter, Iyanna, in Las Vegas.
"Had to come celebrate with my new boo," she wrote.
Mayweather later apologized for using the B-word to describe Cottle.
"I've never slept with her, I never kissed her, never touched her in no inappropriate way," the boxer told celeb blogger Nicole Bitchie.
"I don't want to say that about Tiny," he added. "So I do apologize to Tiny because she cool people. She never been disrespectful to me."