Iran's official news agency IRNA said Kiarostami died in Paris on Monday, where he had gone for cancer treatment last week after undergoing surgery in Iran earlier this year.
He wrote and directed dozens of films over a career spanning more than 40 years. "Taste of Cherry," which told the story of an Iranian man looking for someone to bury him after he killed himself, won the top award at the Cannes Film Festival.
He said at a 2014 appearance in Syracuse that "Taste of Cherry" was his only film he had not watched since he made it. He said it took him back to a period in his life he preferred not to think about. His film was banned in Iran for supposedly encouraging suicide.
"But in truth," he said, "it is a suggestion to live."
More From This Section
Among his other films was "Close-Up" from 1990, which told the true story of a man who impersonated a filmmaker and tricked a family into believing that he would put them in a film.
The 2000 film "The Wind Will Carry Us" is about journalists from a city who go to a village to write about the death of an old woman, but they have time to learn about and appreciate rural life as the woman lives longer than expected.
"Ten," from 2002, features a female taxi driver in Tehran and her conversations with passengers.
While it attracted some strong reviews, critic Roger Ebert wrote, "I am unable to grasp the greatness of Abbas Kiarostami."
In "Certified Copy," Binoche plays a French woman who goes on what appears to be a first date with a British writer. Tensions quickly erupt between the two, and eventually viewers start to suspect that these two may actually know each other and perhaps had once been married.
For that film and others, Kiarostami had to work outside Iran because of the difficulties in making movies there.
Kiarostami is survived by two sons, Ahmad and Bahman Kiarostami, who work in multimedia and documentary film.