According to the report, a police officer observed Peters' white Camaro and a blue sedan at a red light on U.S. 165 North and Central Street. When the light turned green, the Camaro and sedan accelerated and appeared to be racing.
When the deputy attempted to pull over the vehicles, the driver of the sedan pulled over, the report said. But Peters then accelerated at speeds of more than 100 mph with police in pursuit before finally pulling over. Peters was handcuffed, arrested, transported to Ouachita Correctional Center, and booked on charges of drag racing and resisting by flight.
It wasn't clear if he has an attorney.
The Eagles said in a statement, "We are aware of the reports that Jason Peters was arrested this morning in Louisiana. We have been in contact with Jason and due to the legal nature of this matter, we will not have any further comment at this point."
It marked the second arrest for Peters in Louisiana. He was charged with disturbing the peace in March 2011, while in Shreveport for a concert.
A five-time Pro Bowler, Peters missed all of last season after twice rupturing his Achilles tendon. He is being counted on as the starter at left tackle in new coach Chip Kelly's high-paced offense.
According to NFL.com, Peters recently said he was fully recovered from recent Achilles tendon surgery and was willing to walk away from football if he didn't recapture his pre-injury form this coming year.
Information from The Associated Press was used in this report.