21 March – Representing Luxembourg, Hugues Aufray finishes fourth in the Eurovision Song Contest 1964 with the song Dès que le printemps revient.
May – The Moselle canal is inaugurated by Grand Duchesse Charlotte, Charles De Gaulle, and Heinrich Lübke.
7 June – Legislative elections are held. In the Chamber of Deputies, the DP loses five seats, as the LSAP and KPL make progress at their expense. The CSV is beaten in the popular vote for the first time, but remains the largest party by seats.
15 July – Pierre Werner forms a new government, with the LSAP's Henry Cravatte replacing Eugène Schaus of the Democratic Party as Werner's deputy.
21 July - Victor Bodson resigns from the Council of State to take up his seat in the Chamber of Deputies.
12 November – Grand Duchesse Charlotte abdicates, and is succeeded by her son, Jean.
24 March - Agnès Durdu, member of the Council of State
19 April – Marianne Brosius-Kolber, politician
16 June – Yolande, Princess of Ligne
14 August – Jean-Louis Schiltz, politician
10 October – Guy Hellers, footballer
14 March – Nicolas Majerus, jurist
1964 in Luxembourg Wikipedia (Text) CC BY-SA