Greaves is an English surname. Notable people with the surname include:
Charles Greaves, engineerCharles Sprengel Greaves, legal writerGary Greaves, American football playerJimmy Greaves, English footballerJohn Greaves, English mathematician and antiquaryJohn Greaves (musician), British bass guitarist and music composerIvan Greaves (1860-1941), Russian historian from English originsMark Greaves, English footballerPercy L. Greaves, Jr., American economist and presidential candidateR.B. Greaves, R&B musicianSandra Greaves, Canadian judokaWilliam Greaves, filmmakerWilliam Michael Herbert Greaves, British astronomer