The actress, best known for starring alongside Warren Beatty in "Dick Tracy," was 62. She is survived by her husband Byron McCulloch and son Stirling.
"It is with deep sorrow that we confirm the passing of Glenne Headly," her reps said in a statement. "We ask that her family's privacy be respected in this difficult time."
Headly, a native of Connecticut, got her start in theater and went on to star in several productions including "Extremities" alongside Susan Sarandon in 1982.