The spooky show, which is billed as a "terrifying theatrical event", will run at the Arts Theatre from 27 February 2014 (previews from 13 February).
Tickets go on sale from 10am tomorrow (21 August 2013).
The show, which tells a series of ghost stories narrated by Nyman, transferred to the West End's Duke of York's Theatre in July 2010 following runs at the Liverpool Playhouse and Lyric Hammersmith.
Jeremy Dyson is co-writer of The League of Gentlemen, while Andy Nyman is well known for his frequent collaborations with Derren Brown, whose Infamous, directed by Nyman, has just finished its West End season at the Palace Theatre.
The production carries a warning: "Please be advised that Ghost Stories contains moments of extreme shock and tension. The show is unsuitable for anyone under the age of 16. We strongly advise those of a nervous disposition to think very seriously before attending."