2007 - The Guðrún Helgadóttir Children´s Literature Award
2006 - The Bookseller´s Literature Prize: Öðruvísi saga (A Different Story), as the best children´s book.
2005 - The Jónas Hallgímsson Award (an award given by the Ministry of Culture and Education on the Day of the Icelandic Language, November 16).
2004 - The Children´s Choice Book Prize: Öðruvísi fjölskylda (A Different Family)
1999 - IBBY Iceland Award
1996 - VISA Cultural Prize
1994 - Reykjavík Scholastic Prize: Litlu greyin (Poor Little Things)
1993 - The Icelandic National Broadcasting Service Writer´s Prize
1992 - The Nordic Children´s Book Prize: Undan illgresinu (From Beneath the Weeds)
1988 - IBBY Iceland Award: Sænginni yfir minni (Around My Bed)
1980 - Thorbjörn Egner Fund Prize: Óvitar (Infants)
1975 - Reykjavík Scholastic Prize: Jón Oddur og Jón Bjarni (Jón Oddur and Jón Bjarni)
2005 - The Astrid Lindgren Award.
2004 - The Icelandic Literature Prize: Öðruvísi fjölskylda (A Different Family)
2001 - H.C. Andersen Prize
1988 and 1991- The Nordic Children´s Book Prize: Sitji guðs englar; Saman í hring and Sænginni yfir minni (Heaven´s Host; Round and Round and Around My Bed)
1988 - H.C. Andersen Prize
1987 - The Nordic Children´s Book Prize: Sitji guðs englar and Saman í hring (Heaven´s Host and Round and Round)
1985 - The Nordic Children´s Book Prize: Sitji guðs englar (Heaven´s Host)