The 23-year-old Ivory Coast international, who has been regularly in trouble with his club, is alleged to have "insulted and hit a police officer," one source told AFP.
Paris Saint-Germain confirmed that Aurier is in custody but made no other comment.
Aurier "elbowed" the policeman in the throat, according to a legal source.
He has been held at a police station near the Champs Elysee for "deliberate violence against a person of public authority," the source added.
Paris Saint-Germain briefly suspended Aurier in February after he appeared in a video insulting club coach Laurent Blanc. Aurier later admitted he had carried out a "stupid mistake" and apologized.