| 64291 | June 5 | Event | 1963 – The British Secretary of State for War, John Profumo, resigns in a sex scandal known as the "Profumo affair". |
| 64292 | June 5 | Event | 1963 – Movement of 15 Khordad: Protests against the arrest of Ayatollah Ruhollah Khomeini by the Shah of Iran, Mohammad Reza Pahlavi. In several cities, masses of angry demonstrators are confronted by tanks and paratroopers. |
| 64293 | June 5 | Event | 1964 – DSV Alvin is commissioned. |
| 64294 | June 5 | Event | 1967 – The Six-Day War begins: Israel launches surprise strikes against Egyptian air-fields in response to the mobilisation of Egyptian forces on the Israeli border. |
| 64295 | June 5 | Event | 1968 – Robert F. Kennedy, a U.S. presidential candidate, is shot at the Ambassador Hotel in Los Angeles, by Sirhan Sirhan, a Palestinian. Kennedy dies the next day. |
| 64296 | June 5 | Event | 1969 – The International communist conference begins in Moscow. |
| 64297 | June 5 | Event | 1975 – The Suez Canal opens for the first time since the Six-Day War. |
| 64298 | June 5 | Event | 1975 – The United Kingdom holds its first country-wide referendum on remaining in the European Economic Community (EEC). |
| 64299 | June 5 | Event | 1976 – The Teton Dam in Idaho, United States, collapses. |
| 64300 | June 5 | Event | 1977 – A coup takes place in Seychelles. |
| 64301 | June 5 | Event | 1981 – The "Morbidity and Mortality Weekly Report" of the Centers for Disease Control and Prevention reports that five people in Los Angeles, California, have a rare form of pneumonia seen only in patients with weakened immune systems, in what turns out t |
| 64302 | June 5 | Event | 1984 – The Prime Minister of India, Indira Gandhi, orders an attack on the Golden Temple, the holiest site of the Sikh religion. |
| 64303 | June 5 | Event | 1989 – The Tank Man halts the progress of a column of advancing tanks for over half an hour after the Tiananmen Square protests of 1989. |
| 64304 | June 5 | Event | 1993 – Portions of the Holbeck Hall Hotel in Scarborough, in North Yorkshire, England, fall into the sea following a landslide. |
| 64305 | June 5 | Event | 1995 – The Bose–Einstein condensate is first created. |
| 64306 | June 5 | Event | 1998 – A strike begins at the General Motors parts factory in Flint, Michigan, that quickly spreads to five other assembly plants. The strike lasts seven weeks. |
| 64307 | June 5 | Event | 2000 – The Six-Day War in Kisangani begins in Kisangani, in the Democratic Republic of the Congo, between Ugandan and Rwandan forces. A large part of the city is destroyed. |
| 64308 | June 5 | Event | 2001 – Tropical Storm Allison makes landfall on the upper-Texas coastline as a strong tropical storm and dumps large amounts of rain over Houston. The storm causes $5.5 billion in damages, making Allison the costliest tropical storm in U.S. history. |
| 64309 | June 5 | Event | 2003 – A severe heat wave across Pakistan and India reaches its peak, as temperatures exceed 50°C (122°F) in the region. |
| 64310 | June 5 | Event | 2004 – Ronald Reagan, the 40th president of the United States, dies at 93. |
| 64311 | June 5 | Event | 2006 – Serbia declares independence from the State Union of Serbia and Montenegro. |
| 64312 | June 5 | Event | 2009 – After 65 straight days of civil disobedience, at least 31 people are killed in clashes between security forces and indigenous people near Bagua, Peru. |
| 64313 | June 5 | Event | 2012 – The last transit of Venus of the 21st century begins. |
| 64314 | June 5 | Event | 2013 – A building collapse in Philadelphia kills 6, wounds 14 other people. |
| 64315 | June 5 | Birth | 1341 – Edmund of Langley, 1st Duke of York, English politician, Lord Warden of the Cinque Ports (d. 1402) |
| 64316 | June 5 | Birth | 1412 – Ludovico III Gonzaga, Marquis of Mantua, Italian ruler (d. 1478) |
| 64317 | June 5 | Birth | 1493 – Justus Jonas, German priest and academic (d. 1555) |
| 64318 | June 5 | Birth | 1523 – Margaret of France, Duchess of Berry (d. 1573) |
| 64319 | June 5 | Birth | 1640 – Pu Songling, Chinese author (d. 1715) |
| 64320 | June 5 | Birth | 1646 – Elena Cornaro Piscopia, Italian mathematician and philosopher (d. 1684) |