Sigmundsson is a surname. Notable people with the surname include:
Sigurd, the legendary dragonslayer, sometimes known with the patronymic Sigmundsson Þorgrímur Sigmundsson, Icelandic politician Beinir Sigmundsson (10th century – c. 970), chieftain in the Faroe Islands Brestir Sigmundsson (10th century -ca. 970), chieftain in the Faroe Islands Freyr Gauti Sigmundsson (born 1972), Icelandic judoka Ivar Sigmundsson (born 1942), Icelandic alpine skier Kristinn Sigmundsson (born 1951), Icelandic operatic bass
See also Siegmundsburg Sigmundstor