Kenny Leon is to direct the play, which will co-star Diahann Carroll as Lena Younger in her first Broadway role in more than 30 years.
Washington won a Tony Award for his last Broadway appearance in "Fences," which was also helmed by Leon.
Previews of "A Raisin in the Sun" are to begin March 8, with opening night set for April 3 at the Barrymore Theatre where the original production opened 55 years ago.
Co-starring Sophie Okonedo and Anika Noni Rose, the revival is a limited engagement set to run 14 weeks through June 15.
Celebrity Families of 2014 [PHOTOS]