Sigurbjörnsson is an Icelandic patronymic meaning "son of Sigurbjörn". In Icelandic names, it is not a family name. Notable people with the surname include:
Álex Sigurbjörnsson (born 1988), Spanish rower Bergur Sigurbjörnsson (1917–2005), Icelandic magazine editor and politician Eiður Sigurbjörnsson (born 1990), Icelandic footballer