The driver of the other car was taken to hospital but was not seriously injured, she said.
Beckham's black Cadillac crashed into the back of a gold Mitsubishi which had broken down in the car pool (car-sharing) lane, the spokeswoman added.
"On Friday at approximately 9.13am he [Beckham] was involved with a collision on the southbound 405 Freeway just south of Artesia Boulevard," said the spokeswoman.
"This collision occurred when his black Cadillac collided with the rear of a disabled gold Mitsubishi which was stalled in the car pool lane due to mechanical problems.
"The driver of the vehicle had a complaint of pain and was taken to hospital.
"David Beckham was not cited or arrested."