Greaves is an English surname. Notable people with the surname include:
Charles Greaves, engineer
Charles Sprengel Greaves, legal writer
Gary Greaves, American football player
Jimmy Greaves, English footballer
John Greaves, English mathematician and antiquary
John Greaves (musician), British bass guitarist and music composer
Ivan Greaves (1860-1941), Russian historian from English origins
Mark Greaves, English footballer
Percy L. Greaves, Jr., American economist and presidential candidate
R.B. Greaves, R&B musician
Sandra Greaves, Canadian judoka
William Greaves, filmmaker
William Michael Herbert Greaves, British astronomer
