Events from the year 1956 in Denmark.
- 13 March – John Frandsen, composer
- 18 March – Allan Olsen, Musical artist
- 8 April – Peter Aalbæk Jensen, film producer
- 30 April – Lars von Trier, director and screenwriter
- 19 May – Susanne Augustesen, football player
- 30 September – Frank Arnesen, football player and manager
- 29 November – Lene Tranberg, architect and co-founder of Lundgaard & Tranberg
- 19 December – Jens Fink-Jensen, poet, author, photographer, composer and architect
- 30 December – Jes Holtsø, actor