The 43-year-old was held by police in Los Angeles on Monday on suspicion of driving under the influence.
Brown's legal counsel Tiffany Feder has now told People that Brown is taking the arrest seriously.
"Everyone is innocent until proven guilty, and Mr Brown was not driving erratically," Feder said. "He was speaking on his cell phone.
"Mr Brown has not been convicted of anything associated with this incident. Mr Brown is taking this matter seriously and an investigation is under way. The legal process shall run its course."
Brown, the ex-husband of the late Whitney Houston, has a previous DUI conviction from 1996.
He caused controversy last month when he chose to leave Houston's funeral, though he later explained that he had been unhappy with the way he was treated by security.