Rooney was ordered to pay a $25 fine as well as a $91 fine.
A police spokesman told the BBC: "He was later released on a personal recognisance bond".
Rooney, who is 15 months into a drink-driving ban in the United Kingdom, was released without bail in the US.
According to online court information, the charge was for "public swearing/intoxication", a misdemeanor crime under Virginia law. The 33-year-old's arrest at Dulles Airport outside the nation's capital was not reported until Sunday.
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Rooney is being paid something in the region of £46m for his multi-year deal, making him one of the highest-paid players in the league's history.
"We understand the media's interest in this matter but we believe this is a private matter for Wayne that DC United will handle internally. We have no further comment at this time".
Rooney is also England's top scorer and second most-capped player with 53 goals in 120 global appearances.
Rooney is now 13 months into a drink-driving ban and has already completed 100 hours of community service, part of his punishment.
Rooney enjoyed an impressive first season in the MLS with DC United after joining from Everton on a free transfer in June 2018.