Goldstone is a surname. Notable people with the surname include:
Goldstone (Kent cricketer), English cricketer
Basil Goldstone, British Liberal Party activist
Sir Frank Walter Goldstone (1870–1955), British teacher, trade unionist and politician
Gary Goldstone (born 1976), South African football defender
Henry Goldstone (d 1547), English politician
Jack Goldstone, American political scientist and sociologist
James Goldstone, (1931—99), American director
Jeffrey Goldstone, British-born theoretical physicist
Jules Goldstone (1900—80), entertainment attorney
Michael Goldstone, American music industry executive
Richard Goldstone, South African judge and international war crimes prosecutor
Robert Goldstone, a chancellor's professor of psychology at Indiana University in Bloomington, Indiana
Steven Goldstone (born 1946), manages Silver Spring Group investment firm