Summer Farmers Market Now Open insidemedford | June 7, 2014 | Business News, Medford Eats | No Comments The Medford Farmers Market officially opened on Thursday, June 5. The Farmers Market is open every Thursday, 3-7PM in Medford Square behind City Hall. The Market will run through mid-October. – InsideMedford.com. Photos by Susan Altman Add a Comment Cancel reply Your email address will not be published. Required fields are marked *Comment:*Name:* Email Address:* Website: Notify me of follow-up comments by email. Notify me of new posts by email.