Carroll will play matriarch Lena, and Washington will star as her son William. The play, which first debuted in 1959, follows the black family as they try to find a better life in a white neighborhood.
"I think it's one of our most original plays and I think that's why it keeps coming back," Carroll told the AP. "It's one of those classics."
Previews begin March 8 at the Ethel Barrymore Theatre with an opening night slated for April 3.