His death was announced by his friend, the photographer Yuri Rost.
Born in the Soviet Union, Iosseliani spent most of his career in France, where he gained a wider audience making films which were more overtly critical of the country he had left.
He focused on everyday life, but with a detached and sometimes sarcastic style.
Georgia’s Prime Minister, Irakli Garibashvili said he was deeply saddened by the news of Iosseliani’s death, describing him as an “honoured figure” of Georgian art.