• Monarch – Christian X^[1]
• Prime minister – Thorvald Stauning

Sports edit

• Frem wings their fifth Danish football championship by winning the 1940–41 Danish War Tournament.

January–March edit

• 8 January – Ole Søltoft, actor (died 1999)
• 20 February – Nina Hole, artist (died 2016)
• 4 March – Jannik Hastrup, writer, director, producer, illustrator and animator.

April–June edit

• 24 April – Ole Sporring, painter and illustrator
• 19 May
  • Ritt Bjerregaard, politician (died 2023)
  • Erik Reitzel, engineer (died 2012)
• 22 May – Viggo Hørup, politician (1902)

July–September edit

• 25 July – Britta Schall Holberg, politician (died 2022)
• 25 August – Holger Bech Nielsen. physicist
• 29 August – Ole Ritter, cyclist

October–December edit

• 26 October – Harald Nielsen, footballer (died 2015)
• 1 November – Uffe Ellemann-Jensen, politician (died 2022)
• 6 November – Grethe Fenger Møller, Danish politician
• 28 November – Jesper Thilo, jazz saxophonist

January–March edit

• 15 January – Erik Raadal, painter (born 1905)
• 14 March – Herluf Zahle, barrister with the Supreme Court, career diplomat, President of the League of Nations 1928–29 (born 1873)

April–June edit

• 10 May – Gustav Bartholin Hagen, architect (born 1873)
• 20 June – Peder Mørk Mønsted, painter (born 1859)

July–September edit

• 25 July – Christian Sonne, politician (born 1859)
• 30 August – Peder Oluf Pedersen, engineer and physicist, IEEE Medal of Honor recipient in 1930 (born 1874)

October–December edit

• 3 November – Jens Christian Kofoed, architect (born 1864)
• 26 November – Niels Hansen Jacobsen, sculptor (born 1861)