Cops are now looking into the Patrick Beverley ball-throwing incident ... confirming to TMZ Sports on Wednesday the NBA player is currently under police investigation.
A spokesperson for the Indianapolis Metropolitan Police Department tells us ... officers did end up taking a case report on May 2 after Beverley hurled a basketball not once, but twice, at Indiana fans toward the end of the Bucks' playoff game with the Pacers at Gainbridge Fieldhouse.
According to the rep, the report has since been forwarded to detectives, who are now trying to gain access to more video from the arena .