• Monarch – Frederik IX^[1]
• Prime minister – Jens Otto Krag

January–March edit

• 25 January – Heinz Ehlers, professional ice hockey coach and former ice hockey player
• 31 March – Linse Kessler, television personality

April–June edit

• 7 May – Jes Høgh, footballer
• 18 May – Peter Juel-Jensen, politician

July–September edit

• 28 July – Mette Gjerskov, politician (died 2023)
• 18 August – Christian Karsten Hansen, biotech entrepreneur
• 22 September – Lone Frank, journalist

October–December edit

• 13 October – Henrik Valeur, architect
• 15 October – Troels Lyby, actor
• 3 December – Flemming Povlsen, football player
• 12 December – Martin Lidegaard, politician
• 14 December – Helle Thorning-Schmidt, politician, leader of Socialdemokraterne

• 26 February – Karl Jørgensen, actor (b. 1890)
• 18 March – Osvald Helmuth, actor and singer (b. 1894)
• 24 April – Hans Christian Branner, writer (b. 1903)^[2]
• 14 May – Oluf Høst, painter (b. 1883)
• 3 July – Eleanor Margaret Green, Princess Viggo, Countess of Rosenborg (born 1895 in USA)
• 13 August – Poul Hansen, politician (born 1913)
• 22 August – Gunnar Aaby, footballer (born 1895)

• 1966 in Danish television