Family name Björg (Björg 
) , all around the world, is a very rare surname. The last name Björg is habitual in Northern Europe, particularly Iceland, where it is quite a common surname. More prevalently, Björg is the forename as well as the last name.
Dahl, Erlingsdóttir, Erlendsdóttir, Einarsdóttir, Eiríksdóttir, Þórðardóttir, Þorvaldsdóttir, Skarphéðinsdóttir, Baldursdóttir, Pétursdóttir, Ragnarsdóttir, Gunnarsdóttir, Guðmundsdóttir, Eysteinsdóttir, Halldórsdóttir, Ásgeirsdóttir, Þórhallsdóttir, Sigurðardóttir, Bergsteinsson, Björgvinsdóttir, Kristinsdóttir, Kristjánsdóttir, Jóhannsdóttir, Jóhannesdóttir, Jakobsdóttir, Gísladóttir, Leósdóttir, Hansen, Ingadóttir, Kimvall, Pauling, Pálsdóttir, Reessink, Jónsdóttir, Helgadóttir, Vigfúsdóttir, Hermannsdóttir, Magnúsdóttir, Karlsdóttir, Dejaeghere, Guðjónsdóttir, Johansen, Árnadóttir, Ólafsdóttir, Sverrisdóttir, Björnsdóttir, Bjarnadóttir, Grétarsdóttir, Birgisdóttir, and Bergsveinsdóttir