Greenaway is a surname. Notable people with the surname include:
David Greenaway (1889–19??), Scottish footballer
David Greenaway (economist) (born 1952), professor of economics at the University of Nottingham
Emerson Greenaway (1906-1990), American librarian
Frank Greenaway (1917–2013), English chemist and writer
Gavin Greenaway (born 1964), music composer and conductor, son of Roger Greenaway
Joseph A. Greenaway, Jr. (born 1957), United States judge
Kate Greenaway (1846–1901), children's book illustrator and writer
Lorne Greenaway (born 1933), Progressive Conservative party member of the Canadian House of Commons
Peter Greenaway (born 1942), Welsh-born English film director
Peter Van Greenaway (1929–1988), British novelist
Roger Greenaway (born 1938), popular English songwriter
