Robert and Gladys Zimmerman, in a civil complaint, say they have had to live in hiding since Barr told her 110,000 Twitter followers the address of their Lake Mary, Fla., home.
The message was sent a month after George Zimmerman shot Trayvon Martin in February 2012. Zimmerman was acquitted last summer.
The suit in Seminole County District Court says Zimmerman's parents "have to live in seclusion to protect their personal and emotional well-being." It adds George Zimmerman, at the time of Barr's messages, did not live at the address.
Barr noted in a follow-up message she apologized for posting the address, the celebrity website celebritycafe.com said Thursday.