Bradley, 32, was taken into custody at 10 a.m. local time Tuesday and was taken to the Van Nuys, Calif., jail, where he was booked for suspicion of making criminal threats, a Los Angeles Police Department officer told the Times.
His bail was set at $50,000 and he was released around 5:45 p.m., according to Los Angeles County Sheriff's Department booking records.
The booking records would not provide details about the identity of the woman or details of the threats allegedly made against the woman. Bradley has a court appearance scheduled for Feb. 8.
The Mariners released a statement late Tuesday night saying they are aware of Bradley's arrest.
"While we do not yet have full details on what occurred, we are aware of the situation and take it very seriously," general manager Jack Zduriencik said. "We are in the process of determining the full circumstances of what occurred today. Until we have more information, we will not be able to comment further."
The arrest is the latest in a long list of problems for Bradley, whose 11 major league seasons have been marked by boorish behavior, suspensions, and repeated run-ins with umpires and managers.
The self-described bad guy pled guilty in 2004 to a reduced charge for leaving the scene of a traffic stop and was ordered to serve three days in jail. Bradley was charged with driving 52 mph in a 25 mph zone later that year. He also was charged with failure to comply after police said he drove away without signing his speeding ticket.
Also in 2004, Bradley was ordered to undergo anger management counseling while with the Dodgers after being suspended for charging a fan in the stands who had thrown a bottle near him. During the National League playoffs that year, he called a reporter an "Uncle Tom."
And during a 2009 major league game, he was sent home by former Cubs manager Lou Piniella following an angry outburst in the dugout. Also in 2009, he was suspended for a game after arguing with umpire Larry Vanover when he was called out on strikes with the bases loaded April 16.
During spring training last year, Bradley called himself the Kanye West of baseball. He was acquired by the Mariners from the Cubs in a December 2009 trade and has one season remaining on the $30 million, three-year contract he signed with Chicago. A right knee injury ended Bradley's 2010 season in late July.
Earlier last season, the switch-hitter was put on the restricted list for two weeks by Seattle while he received counseling that is ongoing. He said he was having "unpleasant thoughts." He told his wife he was understanding why some people commit suicide.
He returned saying, "I don't have all the answers; I'm not saying I'm cured."
Information from The Associated Press was used in this report.