Ásgeirsson is a surname of Icelandic origin, meaning son of Ásgeir. In Icelandic names, the name is not strictly a surname, but a patronymic. The name may refer to: Áki Ásgeirsson (born 1975), Icelandic musician and composer Ásgeir Ásgeirsson (1894–1972), Icelandic politician; second president of Iceland 1952–68 Ásgeir Gunnar Ásgeirsson (born 1980), Icelandic professional football player Ásmundur Ásgeirsson (1906–1986), Icelandic chess master Benedikt Ásgeirsson (born 1951), Icelandic diplomat; ambassador to Russia Magni Ásgeirsson (born 1978), Icelandic singer and songwriter Sturla Ásgeirsson (born 1980), Icelandic professional handball player