The Jefferson Parish Sheriff’s Office in Louisiana said Maye was arrested on a warrant that was obtained after he was identified as the driver of a black SUV that was involved in a road rage incident on Monday. Maye is accused of pointing a firearm at another vehicle that was occupied by several juvenile females.
He was released after posting a $30,000 bond.
"Marcus vehemently denies the allegation from a motor vehicle incident, and looks forward to defending himself when all the facts come out," Maye’s attorney, Eric Hessler, said.
Maye signed a three-year, $28.5million contact with New Orleans in March after spending his first five NFL seasons with the New York Jets.
The 2017 second-round pick has started all 60 of his career games and totaled 308 tackles (216 solo) with six interceptions, 3.5 sacks, 24 passes defensed and four forced fumbles.
The Saints open their season on September 11 with a visit to the Atlanta Falcons.