The property was also made into a film, directed by William Wyler, and starring Humphrey Bogart in a villainous role.
An Indiana native, Mr. Hayes, 88, died in a Florida nursing home of complications from Alzheimer’s disease, the Times reported.
Mr. Hayes' other Broadway plays include the mystery Calculated Risk (1962), which he also produced; and Leaf and Bough (1949). He also produced and directed the comedy The Happiest Millionaire (1956).
His most famous work, The Desperate Hours, concerned a suburban family taken hostage by escaped convicts. Fredric March played the homeowner patriarch in the film version. A Michael Cimino remake of the picture was made in 1990.
Mr. Hayes also wrote plays and books with his wife, Marrijane, who died in 1991. They penned 1962's "Bon Voyage!," a picture for Disney. Fred MacMurray starred.
Survivors include sons Daniel Hayes, of Georgetown, FL, Gregory, of Atlanta, and Jason, of Juneau, Alaska; and five grandchildren.