Finnbogason is a surname of Icelandic origin, meaning son of Finnbogi ( = Finn bow, Finnish bow ). In Icelandic names the name is not strictly a surname, but a patronymic. Notable people with the name include:
- Alfreð Finnbogason (born 1989), Icelandic football striker
- Birgir Finnbogason (born 1948), Icelandic handball player
- Guðmundur Finnbogason (1873–1944), Icelandic philosopher; one of the first Icelandic psychologists
- Kjartan Finnbogason (born 1986), Icelandic football striker
- Kristján Finnbogason (born 1971), Icelandic football goalkeeper
- Kristján Flóki Finnbogason (born 1995), Icelandic football forward