The incident took place in Atlanta on the evening of August 28 and he was released the next morning.
"We take this matter seriously and have been in constant communication with Coach Budenholzer throughout this situation," Hawks general manager Danny Ferry said in a statement. "We support him during this legal process and will let that take its course."
Budenholzer's lawyer, Michael Hawkins, released the following statement: "Atlanta Hawks head basketball coach Michael Budenholzer was stopped by a Georgia State Patrol DUI Task Force officer for a broken taillight.
"He was stopped solely for an equipment violation and committed no traffic offenses. The trooper demanded that he submit to a breathalyzer, and when Coach Budenholzer asked to consult with an attorney first, he was immediately arrested and charged with DUI."
The Hawks named Budenholzer as former coach's Larry Drew's replacement in May.