• Monarch – Christian X^[1]
• Prime minister – Thorvald Stauning

• July and August – Denmark participates in the 1932 Summer Olympics and wins 6 medals
• 13 September – Danish Landsting election is held
• 16 November – Danish Folketing election is held in Denmark, but not in Faroe Islands
• 12 December – Danish Folketing election is held for the Faroe Islands
• 10 August – The Lego Group is founded

Date unknown edit

• Kjøbenhavns Boldklub wins their seventh Danish football championship by winning the 1931–32 Danish Championship League.

January–March edit

• 11 March – Bodil Kjær, architect and furniture designer

April–June edit

• 27 April – Arne Haugen Sørensen, artist

July–September edit

• 13 July – Per Nørgård, composer
• 20 July – Ove Verner Hansen, actor (died 2016)
• 26 September – Knud Heinesen, politician

October–December edit

• 21 November – Pelle Gudmundsen-Holmgreen, composer (died 2016)

• 18 May – Christian Hedemann, photographer (born 1852)
• 14 June – Peter Adler Alberti, politician and swindler, known for the Alberti scandal of 1908 (born 1851)
• 17 December – Charles Winckler, shot putter