| 39931 | April 7 | Event | 1955 – Winston Churchill resigns as Prime Minister of the United Kingdom amid indications of failing health. |
| 39932 | April 7 | Event | 1956 – Spain relinquishes its protectorate in Morocco. |
| 39933 | April 7 | Event | 1964 – IBM announces the System/360. |
| 39934 | April 7 | Event | 1967 – Film critic Roger Ebert published his very first film review in the Chicago Sun-Times. |
| 39935 | April 7 | Event | 1968 – Motor racing world champion Jim Clark was killed in an accident during a Formula Two race at Hockenheim. |
| 39936 | April 7 | Event | 1969 – The Internet's symbolic birth date: Publication of RFC 1. |
| 39937 | April 7 | Event | 1971 – President Richard Nixon announces his decision to increase the rate of American troop withdrawals from Vietnam. |
| 39938 | April 7 | Event | 1976 – Former British Cabinet Minister John Stonehouse resigns from the Labour Party. |
| 39939 | April 7 | Event | 1977 – German Federal prosecutor Siegfried Buback and his driver are shot by two Red Army Faction members while waiting at a red light. |
| 39940 | April 7 | Event | 1978 – Development of the neutron bomb is canceled by President Jimmy Carter. |
| 39941 | April 7 | Event | 1980 – The United States severs relations with the Islamic Republic of Iran. |
| 39942 | April 7 | Event | 1983 – During STS-6, astronauts Story Musgrave and Don Peterson perform the first Space Shuttle spacewalk. |
| 39943 | April 7 | Event | 1985 – Soviet leader Mikhail Gorbachev declares a moratorium on the deployment of middle-range missiles in Europe. |
| 39944 | April 7 | Event | 1989 – Soviet submarine Komsomolets sinks in the Barents Sea off the coast of Norway killing 42 sailors. |
| 39945 | April 7 | Event | 1990 – Iran–Contra affair: John Poindexter is found guilty of five charges for his part in the scandal (the conviction is later reversed on appeal). |
| 39946 | April 7 | Event | 1990 – A fire breaks out on the passenger ferry Scandinavian Star, killing 159 people. |
| 39947 | April 7 | Event | 1992 – Republika Srpska announces its independence. |
| 39948 | April 7 | Event | 1994 – Rwandan Genocide: Massacres of Tutsis begin in Kigali, Rwanda. |
| 39949 | April 7 | Event | 1994 – Auburn Calloway attempts to hijack Federal Express Flight 705 and crash it to allow his family to benefit from his life insurance policy. The crew subdues him and lands the aircraft safely. |
| 39950 | April 7 | Event | 1995 – First Chechen War: Russian paramilitary troops begin a massacre of civilians in Samashki, Chechnya. |
| 39951 | April 7 | Event | 1999 – The World Trade Organization rules in favor of the United States in its long-running trade dispute with the European Union over bananas. |
| 39952 | April 7 | Event | 2001 – Mars Odyssey is launched. |
| 39953 | April 7 | Event | 2003 – U.S. troops capture Baghdad Saddam Hussein's regime falls two days later. |
| 39954 | April 7 | Event | 2009 – Former Peruvian President Alberto Fujimori is sentenced to 25 years in prison for ordering killings and kidnappings by security forces. |
| 39955 | April 7 | Event | 2009 – Mass protests begin across Moldova under the belief that results from the parliamentary election are fraudulent. |
| 39956 | April 7 | Birth | 1330 – John, 3rd Earl of Kent, English nobleman (d. 1352) |
| 39957 | April 7 | Birth | 1506 – Francis Xavier, Spanish missionary and saint, co-founded the Society of Jesus (d. 1552) |
| 39958 | April 7 | Birth | 1539 – Tobias Stimmer, Swiss painter and illustrator (d. 1584) |
| 39959 | April 7 | Birth | 1613 – Gerrit Dou, Dutch painter (d. 1675) |
| 39960 | April 7 | Birth | 1644 – François de Neufville, duc de Villeroy, French general (d. 1730) |