Argibay is a Spanish surname, especially used in Argentina. Notable people with the surname include:
Alberto Argibay (1932–2007), Argentine actor Alberto Argibay (football manager) (born 1965), Spanish football manager Carmen Argibay (1939–2014), Argentine judge, member of the Supreme Court of Argentina
See also Ana Marzoa (born 1949 as Ana Beatriz Vázquez Argibay), Argentine-Spanish actress