Wright was stopped about 3:30 a.m. Thursday when he was allegedly driving 52 in a 35 mph zone, The Miami Herald said. Wright refused a field sobriety test but was subsequently charged with driving under the influence and driving with a suspended license.
He was released after posting $2,000 bond.
"This is out of character for Dorell; we feel he's a good person and that he will learn from this mistake," Heat President Pat Riley said.
However, Riley also said the conduct was "detrimental to the team" and ordered Wright withheld from games against Chicago Friday and Philadelphia Sunday.
Wright is averaging 6.3 points and 3.1 assists in 57 games this season.