Sigmundur is a given name. Notable people with the name include:
Sigmundur Brestisson (961–1005), Faroese Viking chieftain, took Christianity to the Faroe Islands in 999 Sigmundur Gudmundsson (born 1960), Icelandic-Swedish mathematician at Lund University Sigmundur Davíð Gunnlaugsson (born 1975), Icelandic politician, prime minister of Iceland (2013–2016) Sigmundur Már Herbertsson (born 1968), Icelandic basketball referee and former player Sigmundur Ernir Rúnarsson (born 1961), member of parliament of the Althing, the Icelandic parliament
See also Sigmund