The incident was the second in as many days. On Saturday, a fight broke out when more than a dozen surfers noticed photographers taking pictures of Matthew McConaughey.
"They don't want you here, and nobody that lives here wants you here," one surfer said to the cameramen.
The surfers pushed a photographer into the water, destroying his camera at a cost of about $10,000. One photographer got a broken nose.
Malibu's mayor said incidents like this are exactly why her city is considering a paparazzi crackdown.
"In addition to this beach incident, we have reports from all over Malibu about other areas where people are feeling that their public safety is at risk. Somebody is gonna get hurt," said Mayor Pamela Conley Ulich.
"We're working right now to draft ordinances that would balance the first amendment free speech rights with public safety," she said.
The paparazzi argue they aren't doing anything illegal and usually only take photos in public places.
There were no arrests, but one person was detained for questioning. The Los Angeles County Sheriff's Department is investigating both scuffles.