| 42421 | April 13 | Event | 1960 – The United States launches Transit 1-B, the world's first satellite navigation system. |
| 42422 | April 13 | Event | 1964 – At the Academy Awards, Sidney Poitier becomes the first African-American male to win the Best Actor award for the 1963 film Lilies of the Field. |
| 42423 | April 13 | Event | 1970 – An oxygen tank aboard Apollo 13 explodes, putting the crew in great danger and causing major damage to the spacecraft while en route to the Moon. |
| 42424 | April 13 | Event | 1972 – The Universal Postal Union decides to recognize the People's Republic of China as the only legitimate Chinese representative, effectively expelling the Republic of China administering Taiwan. |
| 42425 | April 13 | Event | 1972 – Vietnam War: The Battle of An Lộc begins. |
| 42426 | April 13 | Event | 1974 – Western Union (in cooperation with NASA and Hughes Aircraft) launches the United States' first commercial geosynchronous communications satellite, Westar 1. |
| 42427 | April 13 | Event | 1975 – Bus massacre in Lebanon: An attack by the Phalangist resistance kills 26 militia members of the Popular Front for the Liberation of Palestine, marking the start of the 15-year Lebanese Civil War. |
| 42428 | April 13 | Event | 1976 – The United States Treasury Department reintroduces the two-dollar bill as a Federal Reserve Note on Thomas Jefferson's 233rd birthday as part of the United States Bicentennial celebration. |
| 42429 | April 13 | Event | 1984 – India moves into Siachen Glacier thus annexing more territory from the Line of Control. |
| 42430 | April 13 | Event | 1987 – Portugal and the People's Republic of China sign an agreement in which Macau would be returned to China in 1999. |
| 42431 | April 13 | Event | 1992 – The Great Chicago flood devastates much of central Chicago. |
| 42432 | April 13 | Event | 1997 – Tiger Woods becomes the youngest golfer to win the Masters Tournament. |
| 42433 | April 13 | Event | 2014 – A bus traveling from Villahermosa to Mexico City crashes into a tractor-trailer and catches fire, killing at least 36 people. |
| 42434 | April 13 | Birth | 1506 – Peter Faber, French priest and theologian, co-founded the Society of Jesus (d. 1546) |
| 42435 | April 13 | Birth | 1519 – Catherine de' Medici, Italian-French wife of Henry II of France (d. 1589) |
| 42436 | April 13 | Birth | 1570 – Guy Fawkes, English soldier, planned the Gunpowder Plot (d. 1606) |
| 42437 | April 13 | Birth | 1573 – Christina of Holstein-Gottorp (d. 1625) |
| 42438 | April 13 | Birth | 1593 – Thomas Wentworth, 1st Earl of Strafford, English soldier and politician, Lord Lieutenant of Ireland (d. 1641) |
| 42439 | April 13 | Birth | 1618 – Roger de Rabutin, Comte de Bussy, French author (d. 1693) |
| 42440 | April 13 | Birth | 1713 – Pierre Jélyotte, French tenor (d. 1797) |
| 42441 | April 13 | Birth | 1729 – Thomas Percy, Irish bishop and poet (d. 1811) |
| 42442 | April 13 | Birth | 1732 – Frederick North, Lord North, English politician, Prime Minister of the United Kingdom (d. 1792) |
| 42443 | April 13 | Birth | 1735 – Isaac Low, American merchant and politician, founded the New York Chamber of Commerce (d. 1791) |
| 42444 | April 13 | Birth | 1743 – Thomas Jefferson, American lawyer and politician, 3rd President of the United States (d. 1826) |
| 42445 | April 13 | Birth | 1747 – Louis Philippe II, Duke of Orléans (d. 1793) |
| 42446 | April 13 | Birth | 1764 – Laurent de Gouvion Saint-Cyr, French general and politician, French Minister of War (d. 1830) |
| 42447 | April 13 | Birth | 1769 – Thomas Lawrence, English painter and educator (d. 1830) |
| 42448 | April 13 | Birth | 1771 – Richard Trevithick, English engineer and explorer (d. 1833) |
| 42449 | April 13 | Birth | 1780 – Alexander Mitchell, Irish engineer, invented the Screw-pile lighthouse (d. 1868) |
| 42450 | April 13 | Birth | 1784 – Friedrich Graf von Wrangel, Prussian field marshal (d. 1877) |