The former England and Manchester United captain, who now plays for Major League Soccer's DC United, was arrested on 16 December in Virginia.
A spokesman for Loudoun County Sheriff's Office confirmed Rooney was taken into custody "on a charge of public intoxication stemming from an arrest by the Metropolitan Washington Airports Authority Police".
The spokesman added: "He was later released on a personal recognizance bond."
Court documents show that Rooney, 33, was released after paying a $25 ($NZ37) fine and $91 ($NZ135) costs.