Sigurgeirsson is a surname. Notable people with the surname include:
Ásgeir Sigurgeirsson (born 1985), Icelandic sport shooter who competes in the men's 10 metre air pistol Pétur Sigurgeirsson (1919–2010), the Bishop of Iceland from 1981 to 1989 Rúnar Þór Sigurgeirsson (born 1999), Icelandic footballer Stefan Jon Sigurgeirsson (born 1989), alpine skier from Iceland