Cops confirmed the probe to us on Tuesday ... though they did not disclose further details of the case, only saying they were investigating an alleged assault/battery involving the Dolphins player.

According to Local 10 News, however, the alleged incident happened at Haulover Marina after Hill got into a dispute with an employee of a charter company at the popular South Florida boating spot.

The outlet reported Tuesday the 29-year-old receiver was accused of putting his hands on the employee at some point during the altercation.

Hill has been seen on social media on boats multiple times this week ... on Father's Day, he shared a snap of him while out on the water on his IG story -- and on Tuesday, his agent, Drew Rosenhaus, showed the two were at sea fishing near a shark.

But, neither Hill nor Rosenhaus have publicly commented on the police probe.

Hill has been the subject of police investigations before -- most notably, back in 2019, he was named in a child abuse report ... though he was never charged with a crime in that case.

Hill has become arguably the best wideout in the NFL ... last season -- his first with Miami -- he tallied 1,710 receiving yards and seven receiving TDs.