Sigurjónsson is an Icelandic patronymic meaning "son of Sigurjón". In Icelandic names, it is not a family name. Some Icelanders abroad use the anglicised version Sigurjonsson as a surname. Notable people with the name include:

Bragi Sigurjónsson (1910–1995), Icelandic politician and former minister Frosti Sigurjónsson (born 1962), Icelandic businessman and politician Gordon Sigurjonsson (1883–1967), Icelandic athlete and trainer Guðmundur Sigurjónsson (born 1947), Icelandic chess grandmaster Guðmundur Ari Sigurjónsson (born 1988), Icelandic politician Jóhann Sigurjónsson (1880–1919), Icelandic playwright and poet John Snorri Sigurjónsson (1973–2021), Icelandic high-altitude mountaineer Oliver Sigurjónsson (born 1995), Icelandic football midfielder, Rúnar Már Sigurjónsson (born 1990), Icelandic professional footballer Sigurður Sigurjónsson (born 1955), AKA Siggi Sigurjóns, Icelandic actor, comedian and screenwriter

See also Sigurð Joensen Sigurd Jonsson