Þórunn is a given name. Notable people with the name include:
- Þórunn Alfreðsdóttir (born 1960), Icelandic butterfly swimmer
- Þórunn Erna Clausen (born 1975), Icelandic actress
- Þórunn Egilsdóttir (1964–2021), Icelandic politician
- Þórunn Jónassen (1850–1922), Icelandic feminist
- Þórunn Helga Jónsdóttir (born 1984), Icelandic footballer
- Ólafía Þórunn Kristinsdóttir (born 1992), Icelandic golfer
- Þórunn Arna Kristjánsdóttir (born 1983), Icelandic actress
- Þórunn Elfa Magnúsdóttir (1910–1995), Icelandic writer
- Þórunn Ormsdottir (died 1431), Icelandic nun
- Þórunn Sveinbjarnardóttir (born 1965), Icelandic politician