According to ESPNDallas.com, police responded to a call at 10:30 p.m. CT on Tuesday night about an intoxicated person walking around an apartment complex.
Stevenson, who does not live in the apartment complex, apparently did not know where he was.
TMZ reported that the 30-year-old failed a sobriety test. He posted $475 bail Wednesday morning and was released.
Stevenson played a vital role for the Mavericks throughout the NBA finals.
In three of Dallas' wins over Miami, Stevenson nailed three 3-pointers and provided a spark off the bench.