Beckham kicked a ball at San Jose's Sam Cronin during the 4-3 loss on Saturday.
Cronin was down in the penalty box at the time, and Beckham's kick set off a prolonged argument between the teams.
Beckham was issued a yellow card for the incident.
He missed the Galaxy's home loss to Philadelphia on Wednesday under suspension for an accumulation of yellow cards.
The struggling defending MLS champions' next game is on Sunday at Chicago.