The scream queen's manager, Chris Roe, said "she was found unresponsive by a family member" in her home near Houston.
Burns got her start in acting in Robert Altman's Brewster McCloud, which was filmed in her hometown of Houston in 1970. She was best known for her role as Sally Hardesty in 1974's Texas Chainsaw Massacre.
In recent years, she focused on a stage career in Texas.
Notable deaths of 2014 [PHOTOS]
Malin Akerman says her son speaks 3 languages