The Broadway League said the lights will be dimmed for one minute at exactly 8:00 p.m. EDT. Stapleton died Friday in New York at 90 of natural causes.
The theater was Stapleton's first love and she compiled a rich resume, starting in 1941 as a New England stock player and moving to Broadway in the 1950s and 60s.
In 1964, she originated the role of Mrs. Strakosh in "Funny Girl" with Barbra Streisand. Others musicals and plays included "Bells Are Ringing," ''Rhinoceros" and "Damn Yankees."