West will take the stage alongside "Missing" actress Laura Donnelly and "My Week with Marilyn" star Miranda Raison.
The play follows a man and woman in an isolated cabin on a cliff, the BBC reported. "The River" will run at London's Royal Court from Oct. 18 – Nov. 17.
West, who appeared in "The Wire" between 2002 and 2008, won a BAFTA TV award for best leading actor in "Appropriate Adult" in May.
After the short run with "The River," the 42-year-old actor is slated to play Professor Henry Higgins in a British production of "My Fair Lady."