8 February - American Vice President George H. W. Bush begins a two-day official visit to Luxembourg.
24 February – Luxembourgish is declared to be the 'national language' of Luxembourg, and one of the three official languages, alongside French and German.
5 May – Luxembourg City hosts the Eurovision Song Contest 1984 after Corinne Hermès's victory the previous year. Representing Luxembourg, Sophie Carle finishes tenth with the song 100% d'amour.
17 June – Legislative and European elections are held. The LSAP increases its representation in the Chamber of Deputies by half.
20 July – Pierre Werner resigns his position as Prime Minister to retire from politics. Jacques Santer forms a new government, with Jacques Poos as his deputy.
18 October - Luxembourger Marcel Mart becomes President of the European Court of Auditors.
24 December - A law is passed creating a new system of automatically indexing wages and benefits to inflation.
3 June – Prince Félix of Luxembourg
30 August – Jeff Henckels, archer
3 September – David Fiegen, athlete
29 June – Victor Bodson, politician
29 August – Camille Ney, politician
4 October - Albert Berchem, politician
1984 in Luxembourg Wikipedia (Text) CC BY-SA