One thing I like about this farmers' market is that it's on the Metro Gold Line, so people can take the train down to buy their produce. The LA Metro site actually has a list of all the markets you can reach on the Gold Line and other metro lines. Just follow this link.
If you live nearby--or close to a Gold Line stop--check out the new Highland Park Farmers' Market to support local farmers and help build community.
Old L.A.'s Farmers' Market
Avenue 57 & Marmion Way in Highland Park
Tuesdays 3pm to 8pm