Danzig is a German-language surname, from the German name for the city of Gdańsk, now a part of Poland. Notable people with the surname include:
Alex Dancyg (1948-2024), Polish-born Israeli historian
Avraham Danzig (1748–1820), rabbi, author of works on Jewish law
Glenn Danzig (born 1955), American singer, songwriter and publisher
Jerome Alan Danzig (1913–2001). American reporter, news producer and political adviser
Mac Danzig (born 1980), American professional mixed martial arts practitioner
Richard Danzig (born 1944), American lawyer and former Secretary of the Navy