| 4 June 1039 | Holy Roman Empire [political events] | Henry III, king of Germany, becomes Holy Roman Emperor following the death of hi father, Conrad II. |
| 4 June 1133 | Holy Roman Empire [administration] | King Lothair III of Germany is crowned Emperor by Pope Innocent II in Rome. As the supporters of the antipope Anacletus II hold St Peter's, the coronation takes place in the Lateran palace. |
| 4 June 1738 | UK, Ireland [births and deaths] | George III, King of Great Britain and Ireland 1760–1820, born in London, England (–1820). |
| 4 June–20 August 1916 | Russian Empire, Austria-Hungary [World War I (1914–18)] | The Russian armies commanded by General Alexei Brusilov mount the Brusilov Offensive, pushing the Austro-Hungarian line south of the Russian Pripet Marshes, but the attack is blunted by German reinforcements. |
| 4 June 1920 | [treaties] | The Allies (principally France and Britain) agree the Treaty of Trianon with Hungary. It removes various territories from Hungary, imposes limits on Hungary's armed forces, and requires Hungary to pay reparations for damage inflicted by Austro-Hungarian forces during the war. |
| 4 June 1920 | United Kingdom, USA [sports] | The US sculler John B Kelly is refused entry to the Henley Regatta, England, because it is deemed that his job as a bricklayer gives him an unfair advantage in competition with ‘gentlemen’. He goes on to win two gold medals for rowing at the Antwerp Olympic Games. |
| 4 June 1936 | France [administration] | The Popular Front leader, Léon Blum, becomes the first Socialist and Jewish prime minister of France. |
| 4 June 1941 | German Empire, Prussia [births and deaths] | Kaiser Wilhelm II, German emperor and king of Prussia 1888–1918, dies in Doorn, the Netherlands (82). |
| 4 June 1949 | UK [horse-racing] | For the first time photo-finish cameras are used to decide the winner of the Epsom Derby. Nimbus, ridden by Charlie Elliott, beats Amour Drake, ridden by Rae Johnstone, by a head. |
| 4 June 1974 | USA [baseball] | The US baseball player Hank Aaron of the Atlanta Braves breaks Babe Ruth's record of 714 home runs in all major league competition. |
| 4 June 1979 | South Africa [law and government] | President B J Vorster of South Africa resigns after the final Erasmus Report shows that he knew about illegal activities at the Information Department under Connie Mulder. |
| 4 June 1979 | Ghana [law and government] | Fred Akuffo is deposed as president of Ghana in a military coup led by Flight-Lt Jerry Rawlings. |
| 4 June 1996 | Europe, French Guiana [space exploration] | The European Space Agency's Arianespace launches the new Ariane 5 rocket from French Guiana, after ten years of development work. It veers off course immediately after takeoff on its maiden flight and is blown up for safety reasons, setting the European space programme back several years. |