He was released from jail Tuesday night after posting $50,000 bail.
Bradley is expected to be in court on Feb. 8.
He currently plays for the Seattle Mariners. The team said it's aware of the outfielder's arrest and taking the matter very seriously.
The 2010 season was Bradley's first in Seattle. He spent two weeks away from the team in May to deal with emotional issues.
The Associated Press contributed to this report.