Auzmendi is a surname. Notable people with the surname include:
Agustín Auzmendi (born 1997), Argentine football forward Iñaki Antigüedad Auzmendi, geologist at the University of the Basque Country Lourdes Auzmendi, Spain-based translator, interpreter, and politician Rodrigo Auzmendi (born 2001), Argentine football forward Xabi Auzmendi (born 1997), Spanish football midfielder