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

• 15 March – Amager Badminton Club is founded.

Cycling edit

• Willy Hansen (DEN) and Viktor Rausch (GER) win the second Six Days of Copenhagen six-day track cycling race.

Football edit

• B 93 wins their sixth Danish football championship by winning the 1934–35 Danish Championship League.

January–March edit

• 16 January – Inger Christensen, poet (died 2009)
• 4 March – Bent Larsen, chess player and author (died 2010)
• 18 March – Ole Barndorff-Nielsen, mathematician (died 2022)

April–June edit

• 4 April – Ole Brask, photographer (died 2009)

July–September edit

• 13 July – Kurt Westergaard, cartoonist (died 2021)

October–December edit

• 22 October – Inge Eriksen, writer and political activist (died 2015)
• 1 November – Svend Jakobsen, politician (died 2022)
• 18 November – Erling Mandelmann, photographer (died 2018)

January–March edit

• 7 January – Anna Wulff, educator (born 1874)

April–June edit

• 15 April – Anna Ancher, painter (born 1859)
• 11 May – Nanna Liebmann, composer and music critic (born 1849)

July–September edit

• 7 July – Karen Jeppe, missionary and social worker (born 1876)
• 5 September – Carl Moltke, Danish nobleman, minister to the United States in 1908, Minister of Foreign Affairs 1924–1926 (born 1869)

October–December edit

• 3 October – Georg Jensen, silver smith and designer (born 1866)
• 7 November – Carl Holsøe, painter (born 1863)
• 18 December – Viggo Johansen, painter (born 1851)