The cause was complications of a brain aneurysm, The New York Times reported Saturday.
Sheckly was considered one of science fiction's seminal humorists, the newspaper said.
Sheckley wrote more than 15 novels and around 400 short stories. The count may actually be higher, however, since he often wrote stories under pseudonyms. His work has been translated into 10 languages and is extremely popular in Eastern Europe.
Sheckley's fiction has been translated into German, Greek, Hungarian, Italian, Polish, Russian, Spanish, Swedish, Finnish and Lithuanian. His work is especially popular in Russia and Eastern Europe.
He was married and divorced four times and was separated from his fifth wife at the time of his death, the Times said.
He is survived by four children, a sister and three grandchildren.