Holm appeared in over two dozen Broadway shows, including her debut in 1938 in Gloriana, and including Oklahoma!, in which she originated the role of Ado Annie, Bloomer Girl, The King and I, Mame, Candida, and her most recent Broadway appearance in 1991's I Hate Hamlet. In 1964, she received an Obie Award for her work in an Off-Broadway production of A Month in the Country.
Holm earned an Oscar for Best Supporting Actress for her work in the film, Gentlemen's Agreement, and received Oscar nominations for Come to the Stable and All About Eve. Her other films included The Tender Trap, High Society, and Three Little Girls in Blue.
She earned Emmy Award nominations for Insight and Backstairs at the White House and a Daytime Emmy nomination for Loving. Holm appeared as the Fairy Godmother in the 1965 television version of Cinderella and in numerous television series, including Nancy, Archie Bunker's Place, Falcon Crest, The Beat, and Promised Land.
She is survived by her husband, Frank Basile, and her sons.