Jim Irsay faces charges of driving while intoxicated and possession of a controlled substance, both misdemeanors.
Prosecutors said the drugs found in Irsay's vehicle were oxycodone and/or hydrocordone.
Irsay's initial hearing is scheduled for mid-June.
The NFL released a statement saying "the league's personal conduct policy applies to all NFL personnel, and it's considering what action to take."
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