David Seidler's play, which was adapted into an Oscar winning film, tells of how King George VI conquered his debilitating stammer with the help of maverick Australian speech therapist Lionel Logue.
Portrayed on screen by Colin Firth and Geoffrey Rush, the roles are played on stage by Charles Edwards and Jonathan Hyde.
Director Adrian Noble was the artistic director and chief executive of the Royal Shakespeare Company from 1990 to 2003. Among myriad directing credits he has helmed several West End musicals including Chitty Chitty Bang Bang and The Secret Garden.
The King's Speech will open in the West End on 22 March.