On entering the Royal Danish Ballet School, she learned the techniques of Bournonville ballet with such ease that she immediately joined the company, making her début in 1966 when she was 16 in Jerome Robbins' . She also performed in David Lichine's Graduation Ball. Her real breakthrough came in 1971 when she danced Clara in The Nutcracker, specially choreographed for her by Flemming Flindt. Bjørn has performed particularly well in a number of Bournonville's ballets, including the title role in La Sylphide and Eleonore and Johanna in Kermes in Bruges. Among other principal roles were the First Pas de deux in Rudi van Dantzig's Vier Letzte Lieder and the title role in Michel Fokine's Petrushka. She also performed Cinderella in Norfolk, Virginia, and Giselle at the 1988 Odense Festival.
Teaching
From 1975, Bjørn began to teach, both at the Royal Theatre's ballet school and on summer courses with Birger Bartholm. She has also conducted Bournonville classes in North and South America, in Asia and throughout Europe, helping to spread the tradition. She headed Frank Andersen's Bournonville Group from 1985 until it was dissolved in 1989.
Choreography
Even as a young dancer, Bjørn began to work as a choreographer at the Royal Theatre, beginning with the ballet 8+1, for which she composed the music herself, followed by Sommerfuglemasken and Hat-Trick. In 1971, she choreographed Anatomisk safari with music by Per Nørgård at Copenhagen's Det Ny Teater. It was the beginning of an extended period of cooperation with Nørgård from 1976 to 1982 during which, together with her Dinna Bjørns Dansegruppe and the percussion band Sol og Måne, she choreographed divertimenti for his works. These included Den tredje tilstand, Wölfli revy, Det guddommelige tivoli, and Siddharta. As a choreographer, she has also created five Hans Christian Andersen ballets for Tivoli's Pantomime Theatre for which Queen Margrethe designed the décor and costumes. They are Kærlighed i skarnkassen, Thumbelina, Fyrtøjet, Svinedrengen and Den standhaftige Tinsoldat.
Director
In 1990, she was appointed artistic director of the Norwegian National Ballet, for whom she choreographed a new production of The Nutcracker, and in 2001, she became ballet mistress for the Finnish National Ballet. From 1997 to 2000, she was also Bournonville Consultant for the Royal Danish Ballet. She has gained a reputation as an international authority on Bournonville.