Deshaun Watson found himself in trouble in Ohio just months after he was traded to the Browns ... TMZ Sports has learned he was busted for going 97 MPH in a 70 MPH zone in June.
The Ohio State Highway Patrol says it caught the star quarterback speeding in his G-Wagon in Sandusky -- less than three months after the Houston Texans dealt him to the Browns in a blockbuster trade.
Police body cam footage shows an officer pulled over the 27-year-old on June 11 ... and asked him if he had any clue how fast he was going.