Constant painted in oils and watercolor in addition to making prints using drypoint. He was consistently drawn to the subject of man's relation to nature and to his role in the universe. As a boy in Greece he was drawn to the aesthetic of Orthodox religious icons, as well as Archaic and Classical Greek art. In the 1920s Constant moved to New York to explore his career as an artist. Many of his works are included in some of the United States' major museums, such as the National Portrait Gallery and the Metropolitan Museum of Art.