Guttormsen is a Norwegian surname meaning "son of Guttorm". Notable people with the surname include:
Finn Guttormsen (born 1968), Norwegian jazz musician Guttorm Guttormsen (born 1950), Norwegian jazz musician Oscar Guttormsen (1884–1964), Norwegian athlete Per Willy Guttormsen (born 1942), Norwegian speed skater Simen Guttormsen (born 2001), Norwegian pole vaulter Sondre Guttormsen (born 1999), Norwegian pole vaulter Thorsten Guttormsen Fretheim (1808–?), Norwegian politician Ulf Guttormsen (born 1942), Norwegian politician