His grandfather, William H.G. France, founded NASCAR and his father, Bill France Jr, was in charge of the league before the youngest France took over.
"I apologize to our fans, our industry and my family for the impact of my actions last night", France said in an email sent to WNDB News by NASCAR officials.
NASCAR later issued a statement announcing that France had "taken an indefinite leave of absence" and that his role would be assumed by his uncle, vice chairman and executive vice president Jim France.
France, 56, spent the night in jail and was arraigned at Sag Harbor Village Justice Court.
France was arrested on Sunday evening while driving his Lexus in Sag Harbor after he was seen running a stop sign. "Effective immediately, I will be taking an indefinite leave of absence from my position to focus on my personal affairs".
There's more. cops say France's blood alcohol level was.19 - more than twice the legal limit in NY when he was busted at 7:08 PM on Sunday. He was released on his own recognizance and is due back in court September 14. The officer also allegedly found France to be in possession of oxycodone pills without a prescription.
He's introduced a playoff system, overhauled the design of its cars and pushed for diversity within the circuit's predominantly white, male ranks.
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His lawyer referred reporters to a NASCAR statement on the matter.
France last month characterized as "rumors" reports that his family was looking into selling its racing properties.
"First of all, the France family has guided us for years, and I met with Jim France himself recently", Gibbs told ESPN. "Whenever he finishes what he needs to do, we all at NASCAR need to welcome him back with open arms". There's nothing to report on that. "Rumors are always interesting, but they're seldom right".
In 2006, a witness called 911 after seeing France drive "at a very reckless speed" through downtown Daytona Beach, Fla., before smacking into a tree.
Felix Sabates, who owns a piece of Chip Ganassi Racing, told The Associated Press that Brian France gets unfairly criticized for the sport's recent struggles and that this is a time when they need to support him.
According to TMZ Sports, law enforcement officers found France to be in possession of five pills that they used Drugs.com to identify as the controlled substance.