Greenough is a surname. Notable people with the surname include:
Gail Greenough (born 1960), Canadian equestrian
George Greenough, surfer and cinematographer
George Bellas Greenough (1778–1855), English geologist
Horatio Greenough (1805–1852), American sculptor
James Bradstreet Greenough (1833–1901), American classical scholar
Louis Greenough (1853–1932), American pioneer of South Dakota
Peter Greenough (1917–2006), American journalist
Richard Saltonstall Greenough (1819–1904), American sculptor
Ricky Greenough (born 1961), English footballer