Greif is a surname. Notable people with the surname include:

Avner Greif, American economist Dominik Greif, Slovak footballer Eric Greif, Canadian-American lawyer and entertainment personality Gideon Greif, historian of the Holocaust Jean-Jacques Greif, French journalist and writer Mark Greif, American author, editor, educator and cultural critic Martin Greif, American writer Olivier Greif, French composer Stephen Greif, English actor Tatjana Greif (born 1966), Slovenian politician