According to the official police report, obtained by Tmz.com, Brown punched Ocean and then, making a reference to his entourage, said, "We can bust on you too" - a hood term for shooting at someone.
Ocean told police that Brown had attacked him after the Pink Matter singer told him he had taken his parking spot.
According to the report, Ocean claimed two members of Brown's entourage attacked him and attempted to kick him.
He also alleges one of his attackers called the gay star a "f**got" - but he was unsure if Brown was the man behind the slur.
Ocean suffered a cut to his right index finger and left temple, but he refused medical treatment on the scene and was later taken to a hospital.
The singer has denied the chance to press charges against Brown.