Reza's play, described as a satire, will open at London's Gielgud Theatre on March 25, 2008, following previews that begin March 7.
Like Reza's Art, The God of Carnage will be directed by Matthew Warchus with a translation by Christopher Hampton. David Pugh and Daffyd Rogers produce.
According to Rogers, God of Carnage is a comedy about parenting skills. The plot centers on two middle-class couples each of whom have a nine-year-old son. Fiennes plays the lawyer father of a boy who attacks the other couple's son. All four parents get together to discuss what happened.
Stott was in the original cast of Reza's Art with Albert Finney and Tom Courtenay. His previous West End performance was with Richard Griffiths and John Hurt in Heroes, by another French writer, Gerald Sibleyras.
In The God of Carnage Stott will play the other father, and McTeer (the title role in Mary Stuart and The Duchess of Malfi) will play his wife. Greig, who won an Olivier Award for her Beatrice in the RSC's production of Much Ado About Nothing, will play Fiennes' wife. Reza's other credits include Life X 3 and Conversations After a Burial.