Shane Hartwig, another local surfer, said: "The beach is for everybody.
"There's enough regulation in Australia without having to stop things because of perceived danger."
The council said it had conducted a review of beach safety, with the results due in a month. Fibreglass boards are already banned at the northern end but the council asked locals for their views on removing all boards, even ones made of foam for beginners.
John Wakefield, the local mayor, said "large numbers of people" had complained about the use of foam boards in the denoted "safe area" for swimming.
"Soft boards are no longer as soft as they were and there's been a number of residents and users of the beach who have expressed concerns about safety," he said.
However, he insisted there was no current plan to impose the ban.
"It's becoming a bit overblown," he said.
"No policy has been devised. No proposal has been received. There's just a survey asking questions about what people perceive to be problems."
Surfing organisations criticised the idea of a ban, saying it would end the traditional progress of surfers at Bondi.
"The southern end has the biggest waves and more rips," Ian Wallace, of Bondi Board Riders said.
"You're going to put everyone down in that one end and then you're going to throw your learners in there, your kids in there ... it just can't work."