Daniel Sullivan, a director not typically associated with the Bard, will pilot the staging, set to preview in earch March at the Belasco, the New York Times reported.
Washington, star of "Malcolm X" and "Training Day," will embody the tragedy's juciest role, the conflicted statesman and soldier Brutus.
Carole Shorenstein Hays and Freddy DeMann will produce. Casting for the play's other major roles—Cassius, Marc Antony, Julius Caesar—has not been announced.
Julius Caesar hasn't been seen on Broadway since 1950. It was recently produced in Central Park by the Public Theater, with a cast including Jeffrey Wright.
Washington hasn't appeared on Broadway since 1988's Checkmates.