The Los Angeles city attorney's office said Friday that the charges stem from Odom's Aug. 30 arrest in the San Fernando Valley.
The husband of reality TV star Khloe Kardashian was taken into custody after a sobriety test.
The California Highway Patrol said Odom's car was observed traveling in a "serpentine manner."
The 33-year-old Odom could face six months in jail and a $1,000 fine if convicted.
A call to Odom's agent for comment was not immediately returned.
After spending the 2012 season with the Dallas Mavericks, Odom returned to the Clippers last year. He is now a free agent.