Officer Anthony Portman said he saw Kinsey, at the wheel of his Bentley, driving erratically and then speeding as fast as 70 mph in a 55 mph zone, WEWS, Cleveland, reported.
Kinsey failed a field sobriety test and refused a Breathalyzer test, police said. He was arrested and bail was set at $500.
After signing with the Cavaliers as a free agent in August, Kinsey averaged 2 points a game in 50 games last season.