Perkins was in his hometown of Beaumont when police were called to a disturbance at a local nightclub early Saturday, police said in a statement.
A police report alleged Perkins tried to fight the club's manager and that once he was taken outside he continued to yell obscenities and challenged several other people to fights.
Perkins was released from the Jefferson County jail after paying the $150 bond on each of the two misdemeanor charges, the Beaumont Enterprise reported.
The newspaper said he was in town for a celebrity exhibition game set for Friday that was canceled after he, Stephen Jackson of the Milwaukee Bucks and Eric Maynor of the Thunder failed to appear.
An unidentified respresentative had told the Enterprise Friday Perkins was dehydrated and under doctor's orders to stay at home.
Oklahoma City acquired Perkins last season in a trade with the Boston Celtics. The 6-foot-10 center averaged 5.1 points and 7.9 rebounds in 17 games with the Thunder.