Events from the year 1839 in Denmark.

• Monarch – Frederick VI (until 3 December),^[1] then Christian VIII^[2]
• Prime minister – Otto Joachim

• 3 December – Frederick VI dies, and Christian VIII becomes King of Denmark

• 8 January – Anna Henriette Levinsohn, opera singer (died 1899)
• 25 January – Frederikke Federspiel, photographer (died 1913)
• 6 February – Caroline Testman, women's rights activist (died 1919)
• 15 February – Hieronymus Georg Zeuthen, mathematician (died 1920)
• 18 February – Hermann Baagøe Storck, architect (died 1922)
• 13 March – Tage Reedtz-Thott, politician, prime minister of Denmark (died 1923)

• 10 June – Ludvig Holstein-Ledreborg, politician, prime minister of Denmark (died 1912)

• 21 August Otto Bache, painter (died 1927)
• 26 August – Kristen Feilberg, photographer (died 1919)
• 23 September - Wilhelmine Schröder, royal favorite (died 1924)

• 2 October – Hans Smidth, artist (died 1917)
• 31 November – Niels Steenberg, engineer (died 1915)
• 4 December – Louise Hegermann-Lindencrone, playwright and salonist (died 1833)

• 29 March – Giuseppe Siboni opera singer and director (born 1780)
• 18 August – Bendix Frantz Ludwig Schow, mayor (born 1778)
• 27 October – Frederik Hauch, Postmaster-General (born 1754)
• 3 December – Frederick VI, King of Denmark (born 1768)^[1]

Full date missing

• Hans Wassard, businessman and landowner (born 1756)