| 3 June 1098 | Seljuk Sultanate of Rum, Syria [Crusades (1095–1272)] | The crusaders take Antioch after a traitor admits a party of knights led by the Norman prince Bohemond of Taranto under cover of night. |
| 3 June 1369 | England, France [Hundred Years War (1337–1453)] | King Edward III of England reassumes the title king of France. |
| 3 June 1520 | Aztec Empire [births and deaths] | Montezuma II (or Moctezuma), ninth Aztec emperor 1502–20, captured by Hernán Cortés, dies in Tenochtitlán (near modern Mexico City) (c. 54). |
| 3 June 1899 | Austria [births and deaths] | Johann Strauss, Austrian composer of Viennese waltzes and operettas, dies in Vienna, Austria (74). |
| 3 June 1915 | Poland, Russian Empire [World War I (1914–18)] | The Russian southern front collapses when German forces recapture Przemysl, Poland. |
| 3–4 June 1927 | USA, UK, Ireland [golf] | The first Ryder Cup match between the professional golfers of the USA and Great Britain is held at Worcester, Massachusetts. The US team wins 9–2. |
| 3 June 1929 | Chile, Peru, Bolivia [political events] | A settlement is reached in the Arica–Tacna border territory dispute (originated in 1910), by which Chile is awarded Arica, Peru gains Tacna, and Bolivia acquires railway rights. |
| 3 June 1931 | [television] | The Epsom Derby horse race is the first sporting event to be televised in Britain. |
| 3–6 June 1942 | USA, Japan [World War II (1939–45)] | US carrier planes sink the Japanese aircraft carriers Hiryu, Soryu, Kaga, and Akagi for the loss of the US carrier Yorktown in the Battle of Midway, off Midway Island in the Pacific. The naval balance in the Pacific war swings in the Allied favour. |
| 3 June 1948 | USA [tools] | The 5-m/200-in Hale reflector telescope is opened at Mount Palomar Observatory, California; it remains the world's largest and most powerful telescope until 1974. |
| 3 June 1959 | Malay States [law and government] | The British colony of Singapore becomes self-governing. |
| 3–7 June 1965 | USA [space exploration] | US astronaut Edward White, during the Gemini 4 space mission, demonstrates the ability of humans to function in outer space when he makes a 22-minute space walk, the first by a US astronaut. He is also the first to use a personal propulsion pack during the walk. |
| 3 June 1968 | USA [crime and punishment] | Valerie Solanis, a part-time actor, shoots and wounds US artist Andy Warhol. |
| 3 June 1979 | Mexico [energy] | Pemex Oil's offshore oil-well Ixtoc 1 blows up, releasing an estimated 3 million barrels of crude oil into the Gulf of Mexico. The largest oil spill ever recorded, the slick spreads 965 km/600 mi to Texas, contaminating Gulf fisheries and beaches. The well defies capping efforts and it continues to disgorge oil until 24 March 1980. |
| 3 June 1989 | Iran [births and deaths] | Ruhollah Khomeini, Iranian Shiite Muslim Ayatollah and organizer of the 1979 revolution that made him political and religious leader of Iran for life, dies in Tehran, Iran (89). |
| 3–14 June 1992 | Brazil [United Nations] | The United Nations Conference on Environment and Development is held in Rio de Janeiro, Brazil. It is attended by delegates from 178 countries, most of whom sign binding conventions to combat global warming and to preserve biodiversity (the latter is not signed by the USA). |
| 3 June 1999 | Federal Republic of Yugoslavia [Balkan conflicts (c. 1991–2000)] | The president of the Federal Republic of Yugoslavia Slobodan Miloševic formally accepts a peace plan devised by the European Union and Russia, after 72 days of NATO bombing. NATO plans to continue bombing until Serb forces begin to withdraw from the disputed region of Kosovo. |
| 3–5 June 2006 | Montenegro Serbia [political events] | The small former Yugoslav republic of Montenegro officially declares its independence following the majority vote in the referendum the previous month to split from neighbouring Serbia. Two days later, Serbia acknowledges the end of the federal union, declaring itself its legal successor. |