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

Undated edit

Architecture edit

Film edit

• May – Lars von Trier's film Eyropa wins the Prix du Jury at the 44th Cannes Film Festival.

Literature edit

Music edit

Badminton edit

• 2–8 May The 1991 IBF World Championships takes place in Copenhagen.
  • Denmark wins one silver medal and two bronze medals.

Cycling edit

• 23 March – Rolf Sørensen comes in second in the Milan–San Remo road cycling race in Italy.
• 7 April – Rolf Sørensen comes in 3rd in the Tour of Flanders.
• April 21 – Rolf Sørensen comes in 3rd in the Liège–Bastogne–Liège road cycling race.
• September – Brian Holm wins the Paris–Brussels road cycling race.
• Danny Clark (AUS) and Jens Veggerby (DEN) win the Six Days of Copenhagen six-day track cycling race.

Swimming edit

• 18–25 August – Denmark wins four gold medals and two bronze medals at the 1991 European Aquatics Championships.

Other edit

• 31 August – Jan O. Pedersen wins the 1991 Individual Speedway World Championship.
• 28 October – 3 November – Denmark wins two gold medals and one silver medal at the 1991 World Taekwondo Championships.

January–March edit

• 9 January – Søren Hess-Olesen, tennis player
• 15 January – Nicolai Jørgensen, footballer

April–June edit

• 3 April – TopGunn, rapper
• 22 May – Mike Hawkins, Musical artist
• 5 June – Martin Braithwaite, footballer
• 20 June – Rasmus Lauge, handballer

July–September edit

• 9 July – Bashkim Kadrii, footballer
• 3 September – Thomas Delaney, footballer
• 29 September – Martin Jensen, DJ and producer

October–December edit

• 4 October
  • Nicolai Kielstrup, singer
  • Erik Sviatchenko, footballer
• 17 Octoeber – Alex Vanopslagh, politician

• 12 March – William Heinesen, poet, writer, composer and painter from the Faroe Islands (born 1900)
• 8 August – Ada Bruhn Hoffmeyer, medieval weapons expert (born 1910)
• 16 October – Ole Beich, musician
• 4 December – Ole Sarvig, poet (born 1921)

• 1991 in Danish television