Ágústsson is an Icelandic patronymic surname, literally meaning "son of Ágúst". Notable people with the name include:
Baldur Ágústsson, Icelandic businessman Bergur Elías Ágústsson (born 1963), Icelandic politician Bogi Ágústsson (born 1952), Icelandic television journalist Einar Ágústsson (1922–1986), Icelandic politician Guðni Ágústsson (born 1949), Icelandic politician Herbert H. Ágústsson (1926–2017), Icelandic composer and hornist