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)

Nominations

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)