The California Highway Patrol said Saturday the former England captain was not hurt in Friday morning's crash, but the other car's driver was hospitalized after complaining of neck pain.
The patrol says Beckham's Cadillac struck a Mitsubishi stalled in the carpool lane of the 405 Freeway in Torrance.
The other driver, a 40-year-old Los Angeles man, was taken to a hospital as a precautionary measure. His name was not released.
Beckham was not cited.
The 35-year-old Beckham has played for Manchester United and Real Madrid and was captain of England's national team from 2000 to 2006.