EXCLUSIVE

More troubling news about L.A. Rams RB Tre Mason -- who's been at the center of 5 different incidents involving cops in the past 4 months, TMZ Sports has learned ... and his family is extremely concerned.

The latest incident occurred on Saturday -- multiple units responded to Mason's family home in Florida in the middle of the afternoon. We know Mason was NOT arrested -- but there seems to be a bigger problem.

Mason's family is concerned about his mental health -- citing a string of bizarre behavior and angry outbursts ... and they're worried for his personal safety.

The Palm Beach County Sheriff's Dept. has been called to the home 5 times since March 28th -- and at least once, Mason agreed to check into a facility to resolve the situation.

From the info we've gathered, Mason has NEVER been accused of hurting anyone. However, on one occasion, a family member told cops she didn't want Tre to leave the house because he hadn't slept in days and she was worried "he will get hurt."

Before the issues at his home, Mason was arrested in Hollywood, FL on March 5th after he was pulled over for speeding -- and was tased when he refused to get out of the car.

It's clear, Tre's family is concerned and wants to help him.