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

• 12 February – The Balle Hoard is discovered in Balle near Grenå.^[2]
• 7 June – The Original Legoland opens.

• August – Ole Ritter becomes the first non-Italian to win the Trofeo Matteotti.

January–March edit

• 7 February – Katja K, former pornographic actress
• 12 February – Lisbeth Zornig Andersen, economist and author

April–June edit

• 13 April – Margrethe Vestager, politician
• 17 April – Julie Fagerholt, fashion designer
• 26 May – Frederik X, King of Denmark
• 19 June – Peter Tanev, weather presenter and author

July–September edit

• 30 July – Sofie Gråbøl, actress
• 2 August – Thomas Lund, badminton player
• 10 August – Lene Rantala, handball player^[3]
• 22 August – Casper Christensen, comedian
• 27 August – Johnny Bredahl, boxer
• 13 September – Ole Bjur, footballer

October–December edit

• 21 November – Jørgen Vig Knudstorp, businessman
• 22 November – Sidse Babett Knudsen, actress
• 2 December – Jan Grarup, photographer
• 25 December – Helena Christensen, model

January–March edit

• 18 January – Adam Fischer, sculptor (born 1888)
• 4 March – Ellen Price, actress and ballerina (born 1878)
• 20 March – Carl Theodor Dreyer, film director (born 1889)

April–June edit

• 19 April – Poul Reumert, actor (born 1883)
• 8 May – Ernst Hansen, painter (born 1892)
• 21 June – Ingeborg Spangsfeldt, actress (born 1895)

July–September edit

• 3 September – Carl Pedersen, rower (born 1884)

October–December edit

• 8 December – Anders Petersen, sport shooter, competitor at the 1920 Summer Olympics (born 1876)

• 1968 in Danish television