It's a coup for the theater's not yet two-year-old Sidney Harman Hall. Mirren made her reputation on London stages before winning the best-actress Oscar two years ago in "The Queen."
So far, Mirren's September appearance in Washington is the only U.S. engagement. The Royal National Theatre production follows a three-month run in London. It also features "Mamma Mia" heartthrob Dominic Cooper.
Mirren will play the title role in "Phedre" from Sept. 17 to 26. Tickets go on sale April 20.