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

Undated edit

Badminton edit

• Triton BK Aalborg wins Europe Cup.
• 15 March – Morten Frost wins gold in men's singles and Kirsten Larsen wins gold in women's singles at the 1987 All England Open Badminton Championships.

Cycling edit

• February – Johnny Weltz wins the Grand Prix d'Ouverture La Marseillaise.
• March – Rolf Sørensen wins the Tirreno–Adriatico cycle race in Italy.
• May/June – Johnny Weltz wins the Grand Prix de Plumelec-Morbihan.
• Danny Clark (AUS) and Tony Doyle (GBR) win the Six Days of Copenhagen six-day track cycling race.
• Unknown date – Hans-Henrik Ørsted wins gold in Men's individual pursuit at the 1987 UCI Track Cycling World Championships.

Football edit

• 14 October – Denmark qualifies for UEFA Euro 1988 in West Germany by defeating Wales in their last game in Group 6 of the UEFA Euro 1988 qualifying and thereby winning the group one point ahead of Czechoslovakia.

Swimming edit

• 16–23 – Benny Nielsen wins a silver medal in Men's 200 metre butterfly and a bronze medal in Men's 100 metre butterfly at the 1987 European Aquatics Championships

January–April edit

• 16 January – Morten Madsen, professional ice hockey forward
• 21 January – Lisbet Jakobsen, rower^[2]
• 3 march – Lasse Nielsen, footballer
• 7 April – Søren Rieks, footballer
• 9 April – Sara Petersen, athlete
• 28 April – Stephanie Corneliussen, actress

May–July edit

• 26 May – Madeleine Dupont, curler from Hvidovre
• 5 June – Magnus Troest, footballer
• 13 July – Andreas Bube, middle-distance runner
• 27 July – Thomas Enevoldsen, professional footballer

October–December edit

• 10 October – Nicklas Pedersen, footballer
• 15 October – Kevin Conboy, footballer
• 18 October – Freja Beha Erich, fashion model
• 22 October – Mikkel Hansen, handball player
• 7 November – Natalie Madueño,actress
• 30 November – Christian Offenberg, footballer
• 23 December – Martin Christensen, footballer
• 30 December – Jeanette Ottesen, swimmer^[3]

• 16 March – Johann Otto von Spreckelsen, architect (born 1929)
• 4 July – Bengt Strömgren, astronomer (born 1908)
• 11 December – Aage Thaarup, fashion designer (born 1906)
• 14 December – Mogens Lassen, architect (born 1901)
• 29 December – Ellen Louise Mertz, Denmark's first female geologist (born 1896)

• 1987 in Danish television