| 35791 | March 29 | Event | 1971 – My Lai Massacre: Lieutenant William Calley is convicted of premeditated murder and sentenced to life in prison. |
| 35792 | March 29 | Event | 1971 – A Los Angeles jury recommends the death penalty for Charles Manson and three female followers. |
| 35793 | March 29 | Event | 1973 – Vietnam War: The last United States combat soldiers leave South Vietnam. |
| 35794 | March 29 | Event | 1973 – Operation Barrel Roll, a covert US bombing campaign in Laos to stop communist infiltration of South Vietnam, ends. |
| 35795 | March 29 | Event | 1974 – NASA's Mariner 10 becomes the first space probe to fly by Mercury. |
| 35796 | March 29 | Event | 1974 – Local farmers in Lintong District, Xi'an, Shaanxi province, China, discover the Terracotta Army that was buried with Qin Shi Huang, the first Emperor of China, in the third century BCE. |
| 35797 | March 29 | Event | 1982 – The Canada Act 1982 receives the Royal Assent from Queen Elizabeth II, setting the stage for the Queen of Canada to proclaim the Constitution Act, 1982. |
| 35798 | March 29 | Event | 1984 – The Baltimore Colts load its possessions onto fifteen Mayflower moving trucks in the early morning hours and transfer its operations to Indianapolis. |
| 35799 | March 29 | Event | 1990 – The Czechoslovak parliament is unable to reach an agreement on what to call the country after the fall of Communism, sparking the so-called Hyphen War. |
| 35800 | March 29 | Event | 1993 – Catherine Callbeck becomes premier of Prince Edward Island and the first woman to be elected in a general election as premier of a Canadian province. |
| 35801 | March 29 | Event | 1999 – The Dow Jones Industrial Average closes above the 10,000 mark (10,006.78) for the first time, during the height of the dot-com bubble. |
| 35802 | March 29 | Event | 1999 – A magnitude 6.8 earthquake strikes the Chamoli district in the Indian state of Uttar Pradesh, killing 103. |
| 35803 | March 29 | Event | 2002 – In reaction to the Passover massacre two days prior, Israel launches Operation Defensive Shield against Palestinian militants, its largest military operation in the West Bank since the 1967 Six-Day War. |
| 35804 | March 29 | Event | 2004 – Bulgaria, Estonia, Latvia, Lithuania, Romania, Slovakia and Slovenia join NATO as full members. |
| 35805 | March 29 | Event | 2004 – The Republic of Ireland becomes the first country in the world to ban smoking in all work places, including bars and restaurants. |
| 35806 | March 29 | Event | 2010 – Two female suicide bombers hit the Moscow Metro system at the peak of the morning rush hour, killing 40. |
| 35807 | March 29 | Event | 2013 – At least 36 people are killed when a 16-floor building collapses in the commercial capital Dar es Salaam, Tanzania. |
| 35808 | March 29 | Event | 2013 – A landslide kills 66 people in China's Tibet Autonomous Region near Lhasa. |
| 35809 | March 29 | Event | 2014 – The first same-sex marriages in England and Wales are performed. |
| 35810 | March 29 | Birth | 1187 – Arthur I, Duke of Brittany (d. 1203) |
| 35811 | March 29 | Birth | 1553 – Vitsentzos Kornaros, Greek poet and playwright (d. 1614) |
| 35812 | March 29 | Birth | 1584 – Ferdinando Fairfax, 2nd Lord Fairfax of Cameron, English general and politician (d. 1648) |
| 35813 | March 29 | Birth | 1602 – John Lightfoot, English priest, scholar, and academic (d. 1675) |
| 35814 | March 29 | Birth | 1713 – John Ponsonby, Irish politician (d. 1789) |
| 35815 | March 29 | Birth | 1735 – Johann Karl August Musäus, German author (d. 1787) |
| 35816 | March 29 | Birth | 1747 – Johann Wilhelm Hässler, German pianist and composer (d. 1822) |
| 35817 | March 29 | Birth | 1751 – Supply Belcher, American singer-songwriter (d. 1836) |
| 35818 | March 29 | Birth | 1769 – Nicolas Jean-de-Dieu Soult, French general and politician, 12th Prime Minister of France (d. 1851) |
| 35819 | March 29 | Birth | 1780 – Jørgen Jørgensen, Danish adventurer (d. 1841) |
| 35820 | March 29 | Birth | 1790 – John Tyler, American lawyer and politician, 10th President of the United States (d. 1862) |