Stephen Hollis will direct the black comedy, which officially opens March 18 and runs through April 5 at the Abingdon Theatre Company's June Havoc Theatre.
Appearing in Greek Holiday are Sarah Knapp, Kathleen McElfresh and Tommy Schrider.
Simon is an Oscar winner for the documentary film "Why Man Creates." His new work asks, "Have you ever wanted to kill your spouse? Under the hot blue sky of a Greek Island, a married couple makes one last try at reconciliation. He lives in despair with memories of a passionate romance with another woman. She lives in silent fury over being abandoned. Their witty repartee masks fantasies of revenge. Shocking and funny, this scintillating black comedy explores the ache of lost love."
The production has designs by Richard Turick (set design), Bettina P. Bierly (costume design), Richard Currie (lighting design) and Scott Killian (original music and sound design).
Simon's plays include Walking to Waldheim, Happiness, Under Siege, A Rich Full Life, These Men, Elaine's Daughter, The Old Lady's Guide To Survival and A Twilight Romance. For tickets phone (212) 868-4444 or visit www.smarttix.com.
The Abingdon Theatre Company is located at 312 West 36th Street in Manhattan.