| 125881 | November 4 | Event | 1939 – World War II: U.S. President Franklin D. Roosevelt orders the United States Customs Service to implement the Neutrality Act of 1939, allowing cash-and-carry purchases of weapons by belligerents. |
| 125882 | November 4 | Event | 1942 – World War II: Second Battle of El Alamein: Disobeying a direct order by Adolf Hitler, General Field Marshal Erwin Rommel leads his forces on a five-month retreat. |
| 125883 | November 4 | Event | 1944 – World War II: Bitola Liberation Day |
| 125884 | November 4 | Event | 1946 – United Nations Security Council Resolution 10 is adopted. |
| 125885 | November 4 | Event | 1948 – United Nations Security Council Resolution 61 is adopted. |
| 125886 | November 4 | Event | 1952 – The United States government establishes the National Security Agency, or NSA. |
| 125887 | November 4 | Event | 1956 – Soviet troops enter Hungary to end the Hungarian revolution against the Soviet Union, that started on October 23. Thousands are killed, more are wounded, and nearly a quarter million leave the country. |
| 125888 | November 4 | Event | 1960 – At the Kasakela Chimpanzee Community in Tanzania, Dr. Jane Goodall observes chimpanzees creating tools, the first-ever observation in non-human animals. |
| 125889 | November 4 | Event | 1962 – The United States concludes Operation Fishbowl, its final above-ground nuclear weapons testing series, in anticipation of the 1963 Partial Nuclear Test Ban Treaty. |
| 125890 | November 4 | Event | 1966 – The Arno River floods Florence, Italy, to a maximum depth of 6.7 m (22 ft), leaving thousands homeless and destroying millions of masterpieces of art and rare books. Also Venice was submerged on the same day at its record all-time acqua alta of 194 |
| 125891 | November 4 | Event | 1970 – Vietnam War: Vietnamization: The United States turns control of the Binh Thuy Air Base in the Mekong Delta over to South Vietnam. |
| 125892 | November 4 | Event | 1970 – Genie, a 13-year-old feral child is found in Los Angeles having been locked in her bedroom for most of her life. |
| 125893 | November 4 | Event | 1970 – Salvador Allende takes office as President of Chile, the first Marxist to become president of a Latin American country through open elections. |
| 125894 | November 4 | Event | 1973 – The Netherlands experiences the first Car-Free Sunday caused by the 1973 oil crisis. Highways are deserted and are used only by cyclists and roller skaters. |
| 125895 | November 4 | Event | 1979 – Iran hostage crisis: A mob of Iranians, mostly students, overruns the US embassy in Tehran and takes 90 hostages (53 of whom are American). |
| 125896 | November 4 | Event | 1993 – The China Airlines Flight 605, a Boeing 747, overruns Runway 13 at Hong Kong's Kai Tak International Airport while landing during a typhoon, injuring 22 people. |
| 125897 | November 4 | Event | 1995 – Israeli prime minister Yitzhak Rabin is assassinated by an extremist Israeli. |
| 125898 | November 4 | Event | 2002 – Chinese authorities arrest cyber-dissident He Depu for signing a pro-democracy letter to the 16th Communist Party Congress. |
| 125899 | November 4 | Event | 2008 – Barack Obama becomes the first person of African descent to be elected President of the United States. |
| 125900 | November 4 | Event | 2010 – Aero Caribbean Flight 883 crashes into Guasimal, Sancti Spíritus. All 68 passengers and crew were killed. |
| 125901 | November 4 | Event | 2010 – Qantas Flight 32, an Airbus A380, suffers an uncontained engine failure over Indonesia shortly after taking off from Singapore, crippling the jet. The crew manage to safely return to Singapore, saving all 469 passengers and crew. |
| 125902 | November 4 | Birth | 1448 – Alfonso II of Naples (d. 1495) |
| 125903 | November 4 | Birth | 1575 – Guido Reni, Italian painter and illustrator (d. 1642) |
| 125904 | November 4 | Birth | 1618 – Aurangzeb, Mughal emperor (d. 1707) |
| 125905 | November 4 | Birth | 1631 – Mary, Princess Royal and Princess of Orange (d. 1660) |
| 125906 | November 4 | Birth | 1640 – Carlo Mannelli, Italian violinist and composer (d. 1697) |
| 125907 | November 4 | Birth | 1650 – William III of England (d. 1702) |
| 125908 | November 4 | Birth | 1661 – Charles III Philip, Elector Palatine, German son of Landgravine Elisabeth Amalie of Hesse-Darmstadt (d. 1742) |
| 125909 | November 4 | Birth | 1740 – Augustus Toplady, English cleric and composer (d. 1778) |
| 125910 | November 4 | Birth | 1765 – Pierre-Simon Girard, French mathematician and engineer (d. 1836) |