Alexiou () is a Greek surname, meaning "son of Alexis". Notable people with the surname include:
Alexandros Alexiou (born 1963), Greek footballer Elli Alexiou (189–1988), Greek writer Giannis Alexiou (born 1984), Greek footballer Haris Alexiou (born 1950), Greek singer , British Neohellenist and Byzantinist Peter Vagenas (born 1978), American soccer player Sophocles Alexiou (born 1961), British photographer