 Chapman was awarded the Lyell Prize for research by the Geological Society of London in 1899; the David Syme Research Prize of the University of Melbourne in 1920; the Lyell Medal, Geological Society, London 1930; the Clarke Medal by the Royal Society of New South Wales in 1932; the Australian Natural History Medallion by the Field Naturalists Club of Victoria in 1941.He was president of the Royal Society of Victoria 1929 to 1930.Chapman published "Book of Fossils" (London and Sydney) in 1934.