Greenough is an English surname. Notable people with the surname include:
Bobby Greenough, English rugby league footballer of the 1950s and 1960s 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 James C. Greenough (1829-1924), American educator 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 Sarah Dana Greenough (1827–1885), American novelist