Publicist Steve Rohr, who represents Carter and her husband, actor Hal Holbrook, said Carter died on Saturday morning.
A native of Tennessee, Carter was most famous for playing quick-witted Southerner Julia Sugarbaker for seven years on Designing Women, the CBS sitcom that ran from 1986 to 1993.
She was nominated for an Emmy in 2007 for her seven-episode guest stint on the ABC hit Desperate Housewives.
Carter’s other credits include roles on the series Family Law and Different Strokes.
She was married to Holbrook since 1984. The Press Association