The season features three comic shows
Ruby Wax's new solo show Sane New World, the follow up to Losing It, will transfer to the St James Theatre next year.
The show, which premiered at this year's Edinburgh Fringe, promises to "help us understand why we sabotage our own sanity and provides a manual on how to survive the 21st century."
It runs from 2 to 14 March 2015, and is preceded by the UK premiere of Bad Jews, which opened in the Ustinov Studio, Bath earlier this year.
Joshua Harmon's play is set in a cramped Manhattan apartment which becomes the setting for a "viciously hilarious" quarrel about family, faith and legacy on the night after a Jewish patriarch's funeral.
Directed by Michael Longhurst, runs at the St James from 15 January to 28 February starring Jenna Augen, Gina Bramhill, Joe Coen and Ilan Goodman, who all reprise their roles from Bath.
Rounding off the season, as previously announced, is William Gaminara's satirical comedy The Three Lions, which will visit the St James from 24 March to 2 May following a short UK tour.