Nørgaard has written novels, compilations of essays and short stories. The memoir of her childhood, Kun en pige (Only a girl), became a bestseller in 1992 and is considered her masterpiece. The work was made into a feature film in 1995.
From 1978 to 1982 Nørgaard created and co-wrote the television series Matador.
The series, which focused on typical Danish characters living in the fictional town of Korsbæk between 1929 and 1947, became the most successful television program in Danish history. Nørgaard became a journalist for the Politiken newspaper in 1949 where she wrote about household and women"s issues.
In 1968 she worked at the Hjemmet weekly magazine, serving as managing editor from 1975 to 1977. Her columns for the magazine became popular for their critical and humorous insight into Danish life.
In 1993, she received the De gyldne Laurbær (The Golden Laurel) as Danish writer of the year.