After his PhD, he was a postdoctoral researcher with Hugh Felkin at the Institut de Chimie des Substances Naturelles at Gif-sur-Yvette, near Paris. He was a postdoctoral fellow (1973–1975) and then attaché de recherche (1975–1977). At the end of that time he was chargé de recherche. In 1977 Crabtree took an assistant professorship in Inorganic Chemistry at Yale University. He served as associate professor from 1982 to 1985, and as full professor from 1985 to 2021. In retirement, he now serves as an emeritus professor of chemistry.