Greenaway is a surname. Notable people with the surname include:
David Greenaway (1889–19??), Scottish footballerDavid Greenaway (economist) (born 1952), professor of economics at the University of NottinghamEmerson Greenaway (1906-1990), American librarianFrank Greenaway (1917–2013), English chemist and writerGavin Greenaway (born 1964), music composer and conductor, son of Roger GreenawayJoseph A. Greenaway, Jr. (born 1957), United States judgeKate Greenaway (1846–1901), children's book illustrator and writerLorne Greenaway (born 1933), Progressive Conservative party member of the Canadian House of CommonsPeter Greenaway (born 1942), Welsh-born English film directorPeter Van Greenaway (1929–1988), British novelistRoger Greenaway (born 1938), popular English songwriter