Greenidge is a surname. Notable people with the surname include:
- Abel Hendy Jones Greenidge (1865–1906), writer on ancient history and law
- Akil Greenidge (born 1996), English cricketer
- Alvin Greenidge (born 1956), former West Indian cricketer
- Carl Greenidge (born 1978), English cricketer
- Charles Wilton Wood Greenidge (1889–1972), diplomat and anti-slavery activist
- David Greenidge, Bermudian cricketer
- Ethan Greenidge (born 1997), American football player
- Geoff Greenidge (born 1948), West Indian cricketer
- Gordon Greenidge (born 1951), Barbadian cricketer
- Kaitlyn Greenidge, American writer
- Kerri Greenidge, American historian and academic
- Kirsten Greenidge, American playwright
- Reiss Greenidge (born 1996), English-Jamaican professional footballer
- Ricardo Greenidge (born 1971), Canadian sprinter and bobsledder
- Robert Greenidge (born 1950), Trinidadian steelpan player
- Ronuel Greenidge (born 1983), Guyanese chess player
- Terence Lucy Greenidge (1902–1970), English author and actor