Sigfússon is an Icelandic and Faroese patronymic, meaning son of Sigfús. The anglicised version is Sigfusson. In Icelandic names, the name is not strictly a surname as it is not a family name. Notable people with this name include:
Árni Sigfússon (contemporary), Icelandic businessman and local politician Hannes Sigfússon (1922–1997), Icelandic poet and writer Sæmundr Sigfússon (also Sæmundr fróði, 1056–1133), Icelandic priest and scholar Sigfús Sigfússon (1855–1935), Icelandic collector of folktales Skuli Sigfusson (1870–1969), Canadian politician from Manitoba; provincial legislator 1915–45 Steingrímur J. Sigfússon (b. 1955), Icelandic politician; member of the Alþing since 1983; government minister Svein Sigfusson (1912–1922), Canadian athlete and entrepreneur Þorsteinn Ingi Sigfússon (1954–2019), Icelandic physicist