| 64261 | June 5 | Event | 754 – Boniface, Anglo-Saxon missionary, is killed by a band of pagans at Dokkum in Frisia. |
| 64262 | June 5 | Event | 1257 – Kraków, in Poland, receives city rights. |
| 64263 | June 5 | Event | 1283 – Battle of the Gulf of Naples: Roger of Lauria, admiral to King Peter III of Aragon, captures Charles of Salermo. |
| 64264 | June 5 | Event | 1625 – The city of Breda surrenders to the Spanish tercios under general Ambrosio Spinola. |
| 64265 | June 5 | Event | 1798 – The Battle of New Ross: The attempt to spread the United Irish Rebellion into Munster is defeated. |
| 64266 | June 5 | Event | 1817 – The first Great Lakes steamer, the Frontenac, is launched. |
| 64267 | June 5 | Event | 1829 – HMS Pickle captures the armed slave ship Voladora off the coast of Cuba. |
| 64268 | June 5 | Event | 1832 – The June Rebellion breaks out in Paris in an attempt to overthrow the monarchy of Louis Philippe. |
| 64269 | June 5 | Event | 1837 – Houston is incorporated by the Republic of Texas. |
| 64270 | June 5 | Event | 1849 – Denmark becomes a constitutional monarchy by the signing of a new constitution. |
| 64271 | June 5 | Event | 1851 – Harriet Beecher Stowe's anti-slavery serial, Uncle Tom's Cabin, or Life Among the Lowly, starts a ten-month run in the National Era abolitionist newspaper. |
| 64272 | June 5 | Event | 1862 – As the Treaty of Saigon is signed, ceding parts of southern Vietnam to France, the guerrilla leader Trương Định decides to defy Emperor Tự Đức of Vietnam and fight on against the Europeans. |
| 64273 | June 5 | Event | 1864 – American Civil War: Battle of Piedmont: Union forces under General David Hunter defeat a Confederate army at Piedmont, Virginia, taking nearly 1,000 prisoners. |
| 64274 | June 5 | Event | 1883 – The first regularly scheduled Orient Express departs Paris. |
| 64275 | June 5 | Event | 1888 – The Rio de la Plata earthquake takes place. |
| 64276 | June 5 | Event | 1900 – Second Boer War: British soldiers take Pretoria. |
| 64277 | June 5 | Event | 1915 – Denmark amends its constitution to allow women's suffrage. |
| 64278 | June 5 | Event | 1916 – Louis Brandeis is sworn in as a Justice of the United States Supreme Court he is the first American Jew to hold such a position. |
| 64279 | June 5 | Event | 1917 – World War I: Conscription begins in the United States as "Army registration day". |
| 64280 | June 5 | Event | 1933 – The U.S. Congress abrogates the United States' use of the gold standard by enacting a joint resolution (48 Stat. 112) nullifying the right of creditors to demand payment in gold. |
| 64281 | June 5 | Event | 1940 – World War II: After a brief lull in the Battle of France, the Germans renew the offensive against the remaining French divisions south of the River Somme in Operation Fall Rot ("Case Red"). |
| 64282 | June 5 | Event | 1941 – World War II: Four thousand Chongqing residents are asphyxiated in a bomb shelter during the Bombing of Chongqing. |
| 64283 | June 5 | Event | 1942 – World War II: The United States declares war on Bulgaria, Hungary, and Romania. |
| 64284 | June 5 | Event | 1944 – World War II: More than 1000 British bombers drop 5,000 tons of bombs on German gun batteries on the Normandy coast in preparation for D-Day. |
| 64285 | June 5 | Event | 1945 – The Allied Control Council, the military occupation governing body of Germany, formally takes power. |
| 64286 | June 5 | Event | 1946 – A fire in the La Salle Hotel in Chicago, Illinois, kills 61 people. |
| 64287 | June 5 | Event | 1947 – Marshall Plan: In a speech at Harvard University, the United States Secretary of State George Marshall calls for economic aid to war-torn Europe. |
| 64288 | June 5 | Event | 1949 – Thailand elects Orapin Chaiyakan, the first female member of Thailand's Parliament. |
| 64289 | June 5 | Event | 1956 – Elvis Presley introduces his new single, "Hound Dog", on The Milton Berle Show, scandalizing the audience with his suggestive hip movements. |
| 64290 | June 5 | Event | 1959 – The first government of the State of Singapore is sworn in. |