Gunnarsdóttir is an Icelandic patronymic, meaning daughter of Gunnar. In Icelandic names, the name is not strictly a surname. Notable people with the patronymic include:
Elín Ebba Gunnarsdóttir (born 1953), Icelandic author Halla Gunnarsdóttir (born 1981), Iceland politician, journalist and writer Þorgerður Katrín Gunnarsdóttir (born 1965), Icelandic politician; government minister and member of the Alþing since 1999
See also Gunnarsson