Events from the year 1787 in Denmark.

• Monarch – Christian VII^[1]
• Prime minister – Andreas Peter Bernstorff

• 15–17 July – Students and soldiers fight in Filosofgangen in Copenhagen ("Studenterkrigen i Filosofgangen")).
• 26 October – The Royal Danish Academy of Surgery on Bredgade in Copenhagen is inaugurated.^[2]

• J. Cl. Todes Døtreskole, the first serious school for girls, is founded.
• English: A controversy between the historian Jens Kragh Høst (1772-1844) and Jacob Baden (1735-1840) and art historian Torkel Baden (1765-1849) attracts attention..

• 23 January – Christopher Fabritius, silversmith born 1710)
• 29 June – Broder Knud Brodersen Wigelsen, naval officer (died 1867)
• 4 September – Jørgen Hansen Koch, architect (died 1860)
• 6 September – Christian Waagepetersen, wine merchant and philanthropist (died 1840)
• 22 November – Rasmus Rask, scholar and philologist (died 1832)

• Johannes Flintoe, painter of landscapes and scenes from Scandinavian history (died 1870)

• 27 December – Henrik Gerner, naval officer and shipbuilder (born 1742)

Full date missing

• Anna Sofie Bülow, courtier (born 1745)