Guðmundsson is a surname of Icelandic origin, that means son of Guðmundur. In Icelandic names it is not strictly a surname, but a patronymic. The name refers to:
Ágúst Guðmundsson (b. 1947), Icelandic film director
Albert Guðmundsson (1923–1994), Icelandic professional football player; representative in the Althing 1974–83
Ari Guðmundsson (b. 1927), Icelandic Olympic ski jumper
Birkir Ívar Guðmundsson (contemporary), Icelandic professional handball player
Björgólfur Guðmundsson (b. 1941), Icelandic billionaire businessman
Björn Hjörtur Guðmundsson (1911–1998), Icelandic master carpenter and environmental pioneer
Böðvar Guðmundsson (b. 1939), Icelandic author, playwright, and poet
Einar Már Guðmundsson (b. 1954), Icelandic author and poet
Guðmundur Guðmundsson (contemporary), Icelandic professional handball coach
Guðmundur Guðmundsson (1825–1883), Icelandic Mormon missionary
Haraldur Freyr Guðmundsson (b. 1981), Icelandic professional football player
Herbert Guðmundsson (b. 1953), Icelandic pop singer
Jóhann Guðmundsson (b. 1977), Icelandic professional football player
Jóhann Berg Guðmundsson (b. 1990), Icelandic professional football player
Kristján Guðmundsson (b. 1941), contemporary Icelandic conceptual artist
Kristmann Guðmundsson (1901–1983), Icelandic novelist of romantic fiction
Magnús Guðmundsson (1879–1937), Icelandic politician; member of the Althing 1916–37
Páll Guðmundsson (b. 1959), Icelandic sculptor and artist
Pétur Guðmundsson (basketball) (b. 1958), Icelandic professional basketball player
Pétur Guðmundsson (athlete) (b. 1962), Icelandic shot putter
Tómas Guðmundsson (1901–1983), Icelandic author and poet; known as “Reykjavík’s poet”
Tryggvi Guðmundsson (b. 1974), Icelandic professional football player