Azurdia is a surname. Notable people with the surname include:
Elmar Rene Rojas Azurdia (1942–2018), Guatemalan painters and architect Enrique Peralta Azurdia (1908–1997), Guatemalan politician and President of Guatemala Margarita Azurdia (1931–1998), Guatemalan painter, poet and writer and artist Óscar Mendoza Azurdia (1917–1995), Guatemalan politician and President of Guatemala Roberto Azurdia (born 1926), Guatemalan writer, diplomat and physician