The 30-year-old Smith is facing two felony counts -- assault by means of force likely to produce great bodily injury and battery with serious bodily injury -- according to the Los Angeles County District Attorney's Office.
The alleged incident involving Christopher Woods occurred July 4 in Pasadena, Calif.
"We are looking into the matter to understand the facts," NFL spokesman Brian McCarthy said.
Smith, who is scheduled to be arraigned Sept. 29 in Los Angeles County Superior Court, faces a possible maximum sentence of seven years in state prison, according to the DA's office.
The 6-foot-3, 220-pound Smith started 15 games for Oakland last year. He is a veteran of eight NFL seasons with the Miami Dolphins, Kansas City Chiefs and the Raiders. In 123 games (115 starts), he has 393 tackles, 92 passes defensed, 12 interceptions and three forced fumbles.