TMZ stated that the 52-year-old was stopped by police at 1:33 AM in OR and taken into custody for impaired driving.
The publication reports that he then performed a sobriety test, which caused officers to say his impairment was "obvious".
He was described as being visibly intoxicated and well over the legal limit, the site claims. He was then taken to the Grants Pass Sobering Center, and his vehicle was impounded. His Chevy Silverado was impounded.
In January 2017 Mr Markle Jr was arrested following a drunken row with his girlfriend, in which he threatened her with a gun.