She is perhaps best known for her four green alien-like public statues Dansleikur/Dance in Reykjavík, which she completed in 1970, and which is located on Perlan, the highest hill in the city.
[2] Other works of note include Par (1994) and Boy and Girl (1968), located at Tjörnin.
[3] She was a member of the Icelandic Sculptors Society, which she established in the Icelandic capital in 1972 along with Hallsteinn Sigurðsson, Jon Gunnar Árnason, Ragnar Kjartansson and others.
The daughter of Pál Ólafsson and Hilda Stefánsdóttir, she married physician Andrés Ásmundsson (1916–2006) on 6 August 1942.
[1] Works by Þorbjörg are owned by various institutions, including the Icelandic National Gallery and Reykjavík Art Museum.