Astigarraga or de Astigarraga is a Basque toponymic surname, derived from the Spanish town Astigarraga. Notable people with the surname include:
Ignacio Astigarraga (born 1936), Spanish cyclist José Luis Astigarraga Lizarralde (1940–2017), Spanish bishop Pedro de Astigarraga (1882–1965), Spanish physician and footballer Rubén Astigarraga (born 1950), Argentine footballer Tara Astigarraga, American software engineer