Meyers, 31, is best known for his work on TV's "The Tudors," as well as in the movies "Match Point" and "August Rush."
He has previously spent time in rehab to treat his addiction to alcohol and was arrested in 2007 for being drunk and disorderly in a Dublin airport. Those charges were subsequently dismissed.
The Sun newspaper said Wednesday police at Charles DeGaulle in Paris handcuffed the actor after he allegedly boasted about how rich he is, tossed euros on the floor and told the officers: "You wanna hit me? Hit me!"
He was later released pending further inquiries, the newspaper said.