The Nba star was pulled over for driving too slowly on a freeway in California's San Fernando Valley in the early hours of Friday (30Aug13).
He was still being held on $15,000 (£10,000) bail as Wenn went to press.
According to Tmz.com, Odom was going just 50 miles per hour (80 kilometres per hour) and he failed "numerous" field sobriety tests at the scene.
The arrest comes amid speculation Odom has separated from his wife Khloe. It was reported that the Keeping Up With the Kardashians regular recently attempted to stage an intervention for her husband of four years, but he stormed out of their home.