California Highway Patrol Officer Tony Tam says Heyward-Bey was driving his 2012 Range Rover on the lower deck of the bridge on April 7 when he was pulled over by a CHP officer who saw him speeding and weaving.
Tam says the 25-year-old Heyward-Bey was arrested after failing a field sobriety test. Authorities have not said what his blood-alcohol level was at the time of the incident.
Heyward-Bey was the Raiders first-round draft pick in 2009. He had a breakout season in 2011 after struggling in his first two years.
Team officials did not immediately return a call seeking comment about the charges.
Heyward-Bey is due in court on May 31.