Born in Paris to Russian parents in 1928, he spent his childhood in Milan before returning to the French capital and then settling permanently in the United States. In 1948, he met Steichen, Robert Capa and Roy Stryker in New York, and Capa invited him in 1953 to enter the Magnum Photos agency. Since then Elliott has remained a member of the prestigious group, of which he has been president many times.
In 1970, he began producing films; throughout his career, he produced 17, including documentaries, comedies and satire. He has given personal exhibitions in America, Paris, Madrid and London. During his career, he has published more than 20 books.