Running from 13 September to 5 October 2013 (previews from 11 September), the production is directed by Guy Unsworth.
Willimon adapted his play for the screen as The Ides of March, which was directed by George Clooney and starred Clooney and Ryan Gosling.
Willimon acted as head writer on the recent US version of House of Cards, starring Kevin Spacey.
Farragut North centres on Stephen Bellamy (Irons), a bright young man who, at 25, is already press secretary to a candidate for the Democratic Party's presidential nomination. But when Stephen receives an unexpected phone call at a crucial period in the campaign, a decision made in the heat of the moment unleashes a chain of events beyond his control.
Max Irons, son of actors Jeremy Irons and Sinéad Cusack, is currently shooting the role of Miles in Lone Scherfig's film adaptation of Laura Wade's play Posh. He recently played King Edward IV in the BBC's The White Queen. His theatre work includes Friedrich Schiller's Wallenstein (Minerva, Chichester).
Rachel Tucker plays Ida. Theatre credits includes Meat in We Will Rock You (Dominion), Mary in Tonight's The Night (National Tour) and Sally Simpson in Tommy (National Tour). She appeared on BBC casting show I'd Do Anything where she reached the semi-final stages for the role of Nancy, and recently finished playing Elphaba in the West End production of Wicked (Apollo Victoria).
The cast also features Aysha Kala (Vicious, Khadija is 18, Much Ado About Nothing), Josh O'Connor (forthcoming film of Posh, Moving Pictures, Doctor Who), Alain Terzoli (Revenger's Tragedy, Jersey Boys) and Andrew Whipp (King Lear, Macbeth, Not Going Out).
Producer Peter Huntley said, "I am thrilled that we have gathered such an extraordinarily talented cast to bring life to Beau Willimon's wonderful play. I believe this production will be an extraordinary experience for company and audiences alike."