• Monarch – Frederick VIII^[1]
• Prime minister – J. C. Christensen (until 12 October), Niels Neergaard

• 14 June – Gefion Fountain inaugurated at Langelinie in Copenhagen.
• 23 August – The Denmark expedition returns to Copenhagen.
• 8 September – Former Minister of Justice Peter Adler Alberti turns himself in to the police for embezzlement of DKK 18 million (roughly DKK 1 billion as of 2006).^[2]
• 19 September – Det Ny Teater opens in Copenhagen as the second largest theatre in the country.
• 20 October – Skagen Museum is founded in the dining room at Brøndums Hotel in Skagen with the ambition to collect works by the Skagen Painters and raise funds for the construction of a building for their exhibition.^[3]

Undated edit

• Labour shortage begin to occur and the emigration to the United States almost stops.

• 24 May – Boldklubben 1908 is founded.
• 24 August – Thorvald Ellegaard wins gold in men's sprint at the 1908 UCI Track Cycling World Championships.

January–March edit

• 30 January – Astrid Noack, sculptor (died 1954)
• 31 March – Karl Skytte, politician (d. 1986)

April–June edit

• 12 May – Gunnar Strømvad, actor (d. 1972)
• 31 May – Sigfred Johansen, actor (d. 1953)

July–September edit

• 7 July – Ellen Andersen, textile artist (died 1989)

October–December edit

• 1 October – Herman David Koppel, composer (d. 1998)
• 6 October – Bjarne Henning-Jensen, film director (d. 1995)
• 17 October – Svend Olsen, weightlifter (died 1980)
• 22 October – Ole Monty, actor (d. 1977)
• 23 October – Urban Hansen, politician, Lord Mayor of Copenhagen (d. 1986)

January–March edit

• 14 January – Holger Drachmann, poet, painter (born 1846)
• 3 February – Ferdinand Meldahl, architect (born 1827)
• 20 March – Frants Henningsen, painter (born 1850)

July–September edit

• 27 August – Thorvald Bindesbøll, architect, designer (born 1846)

October–December edit

• 20 October – Emil Blichfeldt, architect (born 1849)
• 26 October – Lorenz Frølich, painter and graphic artist (born 1820)
• 1 November – Christian Conrad Sophus Danneskiold-Samsøe, landowner and theatre director (born 1836)
• 8 November – Heinrich Hirschsprung, lawyer, businessman and patron (born 1836)