← 1870 1869 1868 1871 in Denmark → 1872 1873 1874
Decades:	1850s 1860s 1870s 1880s 1890s
See also:	Other events of 1871 List of years in Denmark

Events from the year 1871 in Denmark.

• Monarch – Christian IX^[1]
• Prime minister – Ludvig Holstein-Holsteinborg

• 2 January – The Stöðulög, laws on the constitutional standing of Iceland within the Danish realm, are passed.
• 2 May – The Skanderborg–Silkeborg railway line is inaugurated
• 5 October – Den Danske Landmandsbank, Hypothek- og Vexelbank i Kjøbenhavn, present-day Danske Bank, is founded.
• 15 August – The Vendsyssel Railway is inaugurated with the first train to Frederikshavn.
• 15 October – The Social Democratic party is founded by Louis Pio, Harald Brix and Paul Geleff.
• 8 November – At Lyksborg Slot, Princess Thyra gives birth to a daughter, conceived in a love affair with a cavalry lieutenant. The girl is adopted by a couple in Odense shortly after birth.

• The first private kindergarten in Denmark is established in Copenhagen by writer Erna Juel-Hansen. Kindergarten with public support are not seen until 1901.^[2]
• The Danish Women's Society, the world's oldest women's rights organization, is founded.^[3]

• 15 February – Martin Knudsen, physicist and researcher after whom the Knudsen gas state, the Knudsen number, and the Knudsen layer are named (died 1949)
• 20 March – Mogens Ballin, painter and silversmith (died 1914)

• 5 April – Søren Absalon Larsen, physicist active in the field of electroacoustics; the Larsen effect was named after him (died 1957)
• 13 June – Elna Munch, feminist, suffragist and politician, one of the three first women to be elected to the Danish parliament in 1918 (died 1945)
• 16 June – Ingeborg Suhr Mailand, educator (died 1969)

• 19 July – Lars Jørgen Madsen, multiple Olympic medalist in rifle shooting (died 1925)
• 29 July – August Paulsen, Danish-American businessman and philanthropist (died 1927)

• 2 November – Poul Heegaard, mathematician active in the field of topology, professor in mathematics at the University of Copenhagen 1910–1917, professor in mathematics at the University of Kristiania 1917–1941 (died 1948)
• 5 November – Susanne Lindberg, sports cyclist (died 1934)
• 12 November – Dagmar Hansen, cabaret singer and stage performer, Denmark's first pin-up girl (died 1959)
• 29 November – Arnold Busck, bookseller, company founder (died 1953)
• 10 December – Jens Christian Bay, Danish-American writer and librarian (died 1962)
• 14 December – Harald Moltke, nobleman, painter and author (died 1960)

• 2 January – Niels Kjærbølling, ornithological writer and lithographer, founder of Copenhagen Zoo (born 1806)
• 28 January – Thorgeir Guðmundsson, Icelandic-Danish clergy and publisher (born 1797)
• 1 March – Johan Henrik Nebelong, architect (born 1817)
• 19 March – Frederik Oxholm, colonial administrator (born 1801)
• 28 March – Johan Vilhelm Gertner, portrait painter (born 1818)

• 5 June – Erich Christian Werlauff, historian (born 1781)

• 9 October – Niels Sigfred Nebelong, historicist-style architect, resident architect for the Danish lighthouse authority (born 1806)
• 14 October – Johan Frederik Møller, painter and photographer (born 1686)
• 15 October – Oscar O'Neill Oxholm, military officer and landowner (born 1809)
• 2 December – Moritz Unna, photographer (born 1811)
• 4 December – Ole Sarvig, poet (born 1921)
• 12 December – Henrik Rung, composer, conductor and vocal pedagogue (born 1807)
• 27 December – Carl Ferdinand Allen, historian (born 1811)