A spokeswoman for the Port Authority of New York and New Jersey said Russell was issued a summons for possession of less than 50 grams of marijuana and released. It happened Wednesday night.
Newsday says the former No. 2 pick then flew to Louisville, Kentucky, where his father lives.
The Nets said in a statement they "have been made aware of the situation" and "are in the process of gathering more information at this time."
The 23-year-old Russell had a breakout season, leading the Nets to their first playoff berth since 2014. He was named to the Eastern Conference All-Star team in February