Family name Þorvaldur (Þorvaldur 
, Thorvaldur 
, Торвальд 
) , worldwide, is a very rare surname. The last name Þorvaldur is habitual in Southern Europe, particularly Spain, where it is a very rare surname. Much more prevalently, Þorvaldur is the forename as well as the last name.
Valdi, Ingvarsson, Halldórsson, Thoroddsen, Lúðvíksson, Guðmundsson, Sigurðsson, Þorsteinsson, Þorvaldsson, Þóroddsson, Ólafsson, Viktorsson, Einarsson, Guðjónsson, Böðvarsson, Bragason, Bollason, Árnason, Helgason, Hauksson, Jónsson, Jonsson, Arnarson, Sæmundsen, Yngvason, Færseth, Hafdal, Gylfason, Ásgeirsson, and Ingimundarson