Danzig is a German-language surname. Notable people with the surname include:
Avraham Danzig (1748–1820), rabbi, author of works on Jewish lawGlenn Danzig (born 1955), American rock vocalist, songwriter, and publisherRichard Danzig (born 1944), American lawyer and former Secretary of the NavyMac Danzig (born 1980), American professional mixed martial arts practitionerGeorge Dantzig (born 1914), American mathematical scientist