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

• 3 January – During a severe storm in Denmark, a Maersk helicopter crashed while Esbjerg was flying to a drilling platform in the Gorem field, and three died.
• 10 January – parliamentary elections in Denmark.
• 12 June – Mayor Villo Sigurdsson decides to fire the unorganized firefighter Max Bleicher Hansen, who responds again with a compensation claim of 6.5 million Danish kroner.
• 6 August – 53 percent of Danish TV viewers vote for the swan as Denmark's national bird
• 1 October – The new natural gas network in Denmark is inaugurated
• 4 December – The Radio Board elects Hans Jørgen Jensen as General Manager of Radio Denmark

• 28 – 12 July August – Denmark at the 1984 Summer Olympics in Los Angeles: 0 gold medals, 3 silver medals and 3 bronze medals.

Badminton edit

• 25 March – Morten Frost wins gold in men's singles at the 1984 All England Open Badminton Championships.
• 8–14 April – With one gold medal, three silver medals and 2 bronze medals, Denmark finishes as the second best nation at the 9th European Badminton Championships in Preston, England.
• Gentofte BK wins silver at Europe Cup.

Cycling edit

• Albert Fritz (FRG) and Dietrich Thurau (FRG) win the Six Days of Copenhagen six-day track cycling race.
• April – Kim Andersen wins La Flèche Wallonne.
• Unknown date – Hans-Henrik Ørsted wins gold in Men's individual pursuit at the 1984 UCI Track Cycling World Championships.

Football edit

• 12–27 June – Denmark national football team participates at UEFA Euro 1984 in France.
  • 19 June – Denmark qualifies for the semi-finals by defeating Belgium 3–2 in their last game in Group A and thereby finishing second in the group after France.
  • 24 June – Denmark faces Spain in the semi-final and leads for most of the match after an early goal by Søren Lerby but Antonio Maceda scores three minutes before time and Denmark is subsequently defeated 6–4 after a penalty shoot-out..

January–March edit

• 14 January – Mads Langer, singer
• 22 February – Johanne Schmidt-Nielsen, politician
• 22 March – Annika Langvad, cyclist^[2]

April–June edit

• 13 April – Anders Lindegaard, footballer
• 1 May – Mikkel Følsgaard, actor
• 17 May – Simon Mathew, pop singer

July–September edit

• 10 July – Pernille Skipper, politician
• 13 July – Esben Smed, actor
• 5 August – Kaare Dybvad, politician
• 23 September – Mark Madsen, martial artist and wrestler

October–December edit

• 27 October – Emilie Ullerup, actress
• 3 November – Christian Bakkerud, Danish racing driver (d. 2011)
• 2 December – Anna David, singer
• 12 December – Daniel Agger, football player

• 18 February – Flemming Lassen, designer (born 1902)
• 16 April – Simon Spies, businessman and billionaire (born 1921)
• 21 May – Carl Petersen, politician (born 1894)
• 22 December - Vilhelm Lauritzen, architect (born 1894)

• 1984 in Danish television