• Monarch – Christian IX^[1]
• Prime minister – J. B. S. Estrup

• 17 August – King Luís I of Portugal is received at Amalienborg Palace during his visit to Denmark.

Undated edit

• 17 July – Boldklubben Frem is founded.
• 2+ October – Københavns Roklub is founded.

January–March edit

• 17 January – Johan Ankerstjerne, cinematographer (died 1959)
• 26 January – Johannes Bjerg, sculptor (died 1955)
• 15 March – Gerda Wegener, painter (died 1940)

April–June edit

• 26 April – Olaf Rude, painter (died 1957)
• 1 May – Ville Jais Nielsen, painter and sculptor (died 1949)
• 18 May – Sigurd Kielland Brandt, painter (died 1964)

July–September edit

• 5 August – Kay Bojesen, designer (died 1959)
• 12 October – Gustav Weinreich, woodcarver and furniture maker (died 1980)
• 30 October – William Scharff, painter (died 1959)

• 30 April – Christian August Broberg, businessman and politician (born 1811)
• 12 December – Johan Nicolai Madvig, philologist and politician (born 1804)