Cabrera was told by deputies to drop to his knees so they could handcuff him, the newspaper reported.
He said, "[expletive] shoot me. Kill me," according to the police report.
Cabrera continued: "Do you know who I am? I'm Miguel Cabrera. I play for the Detroit Tigers. You don't know my family."
The Florida state attorney's office released a 41-page report, a police video and 911 audio in Cabrera's case on Wednesday. He was arrested on charges of suspicion of driving under the influence and two counts of resisting an officer without violence. He has pleaded not guilty to the charges, which are misdemeanors.
About half an hour before Cabrera's disabled 2005 black Land Rover was spotted by police, the manager of a bar in Fort Pierce, Fla., had had an altercation with the Tigers slugger, the police report said.
Cabrera reportedly walked into Cowboys Bar-B-Q & Steak Co. as it was closing and was asked to leave, the report said.
Cabrera ignored management's request, the report said. When he was asked to leave again, Cabrera said: "You don't know me. I will kill you. I know all of you, and I will kill all of you and blow this place up."
Another witness at the bar, an off-duty wildlife officer, said he also was threatened by Cabrera.
Cabrera said "he had a gun in his bag for us," the officer said.
The police reports do not indicate Cabrera had a gun.
Cabrera since has apologized for the incident. He is dealing with alcohol-related issues by following a plan devised by the baseball commissioner's office and the players' union.