• Monarch - Margrethe II^[1]
• Prime minister - Poul Schlüter

• 26 August – Munkeruphus north of Copenhagen opens its doors to its first exhibition as an exhibition space.^[2]
• 1 October – Denmark becomes the first country in the world to legalise civil partnerships for same-sex couples.^[3]
• Full date unknown:
  • Tools Design, a consumer products and furniture design studio is founded.^[4]

Film edit

• 28 January – Both Pelle the Conqueror and Babette's Feast art nominated for Best Foreign Language Film at the 46th Golden Globe Awards and Pelle the Conqueror wins the award.

• 15– Mette Jacobsen wins two bronze medals in Women's 200 metre freestyle and Women's 200 metre butterfly at the 1989 European Aquatics Championships.

Cycling edit

• Danny Clark (AUS) and Urs Freuler (SUI) win the Six Days of Copenhagen six-day track cycling race.
• Danny Clark (AUS) and Jens Veggerby (DEN) win the Six Days of Copenhagen six-day track cycling race.

January–March edit

• 9 January – Rikke Møller Pedersenm swimmer

• 14 January – Lærke Møller, handball player
• 26 March – Simon Kjær, football player

April–June edit

• 8 May – Lars Eller, ice hockey player
• 31 May – Daniel Wass, footballer

July–September edit

• 7 August – Søren Frederiksen, footballer
• 7 September – Alban Lendorf, ballet dancer

October–December edit

• 29 October – Maria Sten, actress
• 21 December – Thorbjørn Olesen, golfer

January–March edit

• 22 January – Ellen Andersen, textile artist (born 1908)
• 3 February – Ebbe Langberg, actor (born 1933)
• 4 February – Thorkild Hansen, author (born 1927)

April–June edit

• 29 April – Else Schøtt, operatic soprano (born 1895)
• 17 May – Finn Juhl, architect and designer (born 1912)
• 26 June – Thorkil Kristensen, politician (born 1899)

July–August edit

• 2 July – Hilmar Baunsgaard, politician, former Danish prime minister (born 1920)
• 30 July – Lily Broberg, actress (born 1923)

October–December edit

• 27 October – Kjeld Philip, politician (born 1912)

• 1989 in Danish television