David Beckham -- Involved in Car Crash ... After Picking Up Son

David Beckham and his 16-year-old son Brooklyn were involved in a car crash Saturday in England ... and luckily, they both avoided serious injury.

According to reports ... the crash went down after Beckham picked up his 16-year-old from soccer practice -- he plays for a popular youth club team -- and we're told the father/son duo were shaken up.

We're also told both passengers in the other car were unharmed as well.