1 February – Elections are held to the Chamber of Deputies. The Christian Social People's Party loses 5 seats, while the Democratic Party gains five.
23 February – Prime Minister Pierre Frieden dies in Zürich, twenty-two days after winning re-election.
2 March – Pierre Werner becomes Prime Minister, seven days after the death of his Christian Social People's Party colleague Pierre Frieden. He forms a new government in coalition with the Democratic Party, with Eugène Schaus in the new office as Deputy Prime Minister.
11 March – Luxembourg misses the Eurovision Song Contest for the first time: the only time before the country's withdrawal from the contest since 1993.
7 June – Charly Gaul wins the 1959 Giro d'Italia.
4 August – Nicolas Margue is appointed to the Council of State.
30 December – Paul Wilwertz is re-appointed to the Council of State, having previously been a member from 1945 to 1954.
12 April – Andy Bausch, film director
18 May – Ranga Yogeshwar, scientist
28 September – Michel Margue, historian
30 September – Fernand Kartheiser, politician
8 October – Claude Michely, cyclist
12 December – Patrick Hastert, actor
28 December – Antoine, Prince of Ligne
23 February – Pierre Frieden, politician and Prime Minister
7 June – Victor Prost, politician
22 July – Robert Bruch, linguist
24 September – Jean Schaack, painter
26 September – Ernest Hamelius, politician and banker
4 October – Romain Nati, Councillor of State
2 December – Leo Müller, politician and journalist
4 December – Jean-Pierre Ries, clergyman
1959 in Luxembourg Wikipedia (Text) CC BY-SA