Geirsson is an Icelandic patronymic. Notable people with the name include:
Elmar Geirsson (born 1948), Icelandic footballer Hafsteinn Geirsson (born 1980), Icelandic sailor Logi Geirsson (born 1982), Icelandic handballer Lúðvík Geirsson (born 1959), Icelandic politician Marteinn Geirsson (born 1951), Icelandic footballer