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

• June 10 – Crown Princess Margrethe marries.

Sailing edit

• 1967 Star World Championships are held in Skovshoved.
  • Paul Elvstrøm and Poul Mik-Meyer win the race.

January–March edit

• 7 January – Peter Reichhardt, actor
• 20 January – Sigurd Barrett, pianist, entertainer, composer, writer and television personality
• 14 February – Kasper Salto, designer
• 9 March – Ellen Hillingsø, actress

April–June edit

• 28 April – Claes Bang, actor
• 7 May – Adam Price, screenwriter, restaurateur, television chef
• 3 June – Lars Hjortshøj, stand-up comedian

July–September edit

• 7 July – Tom Kristensen, racing driver
• 27 July – Anette Støvelbæk, actress
• 8 September – Peder Hvelplund, politician
• 17 September – Anne Louise Hassing, actress

October–December edit

• 3 October – Carsten Dahl, jazz pianist
• 30 October – Nikolaj Hübbe, ballet dancer, artistic director

January–March edit

• 31 January – Poul Henningsen, writer, architect and designer (born 1894)
• 6 February – Hans Jacob Nielsen, boxer (born 1899)

April–June edit

• 12 May – Henry Nielsen, actor (born 1890)
• 24 June – Kai Normann Andersen, composer (born 1900)
• 30 June – Harald Hansen, painter (born 1890)

July–September edit

• 16 September – Gerhard Henning, Swedish-Danish sculptor (born 1880)

October–December edit

• 21 October – Ejnar Hertzsprung, chemist and astronomer (born 1873)