Greive is a surname. Notable people with the surname include:
Alex Greive (born 1999), New Zealand professional footballer Bob Greive (1919–2004), American politician Bradley Trevor Greive (born 1970), Australian author Duncan Greive (born 1979), New Zealand founder and managing editor of online magazine The Spinoff Edward Greive (1797–1845), Canadian politician and businessman Hermann Greive (1935–1984), German professor of Jewish studies Johan Conrad Greive (1837–1891), Dutch painter John Greive (1886–1971), Scottish first-class cricketer and cricket administrator, brother of Walter and William Petrus Franciscus Greive (1811–1872), Dutch painter and lithographer Tallulah Greive (born 1997), Australian-Scottish actress Walter Greive (1891–1917), Scottish first-class cricketer, brother of John and William William Greive (1888–1916), Scottish first-class cricketer, brother of John and Walter
See also George Grieve (1748–1809), or Greive (as he latterly spelled it), was the persecutor of Madame Du Barry