Svavarsson is a surname of Icelandic origin, meaning son of Svavar. In Icelandic names, the name is not strictly a surname, but a patronymic. The name may refer to:
Gardar Svavarsson (fl. 9th century), Swedish man, said to be the first Scandinavian to live in Iceland Jörundur Svavarsson (contemporary), Icelandic professor of biology at the University of Iceland Vignir Svavarsson (born 1980), Icelandic handball player