There were no signs of foul play, and Blount appeared to have died on Monday, Pulaski County Coroner Garland Camper told the Arkansas Democrat Gazette.
The paper also reports that Blount's husband, actor and director Ray McKinnon, was out of town this week.
Blount was nominated for a Golden Globe for playing Debra Winger's friend, Lynette Pomeroy, in 1982's An Officer and a Gentleman. In 2001, the live-action short film she produced, The Accountant won an Oscar.
Her other acting roles included those in Great Balls of Fire, with Dennis Quaid as Jerry Lee Lewis, and Chrystal, with Billy Bob Thornton.