Wright was stopped at about 3:30 a.m. ET Thursday, then booked. Bond was set at $1,000, according to Miami-Dade County corrections officials.
In a statement, the Heat said they were "aware of the traffic stop" and declined to comment until they could learn more about the incident. Wright did not return a message left on his cell phone Thursday afternoon.
Wright is averaging 6.3 points in 57 games this season for the Heat.
The team was off Thursday and hosts the Chicago Bulls Friday night.