He had four children: Sigríður Mária Elísabet Halldórsdóttir ("Maria", 10 April 1923 - 19 March 2016), Einar Laxness (9 August 1931 - 23 May 2016), Sigríður Halldórsdóttir ("Sigga", b. 26 May 1951) and Guðný Halldórsdóttir ("Duna", b. 23 January 1954). Guðný Halldórsdóttir is a filmmaker whose first work was the 1989 adaptation of "Kristnihald undir jōkli" ("Under the Glacier"). In 1999 her adaptation of her father's story "Úngfrúin góða og Húsið" ("The Honour of the House") was submitted for consideration for the Academy Award for Best Foreign Film. Guðný's son, Halldór Laxness Halldórsson, is a writer, actor and poet.