Monday, they plan on handing over the petition to Los Angeles City Council President Eric Garcetti.
The group, Neighbors for Change launched the drive over the weekend to gather signatures. Members are concerned that the market will lose its permit over a dispute with the Los Angeles Film School.
The school has argued the market blocks access to one of its parking garages on Sundays.
Neighbors for Change wants the city to amend its special event ordinance to protect farmers markets.