Fríða (Áslaug) Sigurðardóttir was born on December 11, 1940 on the farm Hesteyri in Hornstrandir in the Westfjords of Iceland. She graduated with a Cand. Mag. degree in Icelandic language and literature from the University of Iceland in 1979. She worked as a librarian at the University Library and the American Library in Reykjavik from 1964 – 1970, worked at the faculty of humanities at The University of Iceland from 1971 – 1973, and was a sessional teacher at the University and The Iceland College of Education from 1973 – 1975. After 1978, Fríða dedicated her time to writing.
Fríða Á. Sigurðardóttir's first work was the short story collection Þetta er ekkert alvarlegt (Nothing Serious), published in 1980. She then sent forward novels and short stories, as well as translations of foreign literary works. Her novel, Meðan nóttin líður (Night Watch) from 1990 received the Icelandic Literature Prize in 1991 and The Nordic Council's Literature Prize in 1992. The novel has been translated to English and the Scandinavian languages. Fríða also wrote articles for newspapers and magazines. Her study of the plays by Icelandic playwright Jökull Jakobsson was published in 1980. Her last published work is the novel Í húsi Júlíu (In Julia's House), published in October 2006.
Fríða Á. Sigurðardóttir passed away in Reykjavík on May 7th, 2010. She was married to Gunnar Ásgeirsson and they have two sons and six grandhildren.