Patti LuPone and Sting are on the roster of performers for the LGBTI event.
The UN partners with the LGBTI equal rights campaign to raise global awareness.
Martin takes on the role of Berthe, for which she won a 2013 Tony.
Kate Burton, Sheldon Harnick, and April Gornik were honored at the annual event.
The company will donate its time and talent for the event.
Betsy Wolfe of Bullets Over Broadway and Jessica Phillips will sing the music of the Oscar and Grammy winner.
Wicked composer Stephen Schwartz brings one of his lesser-known musicals to Washington, D.C.