- On American Airlines Flight 1 a Boeing 707 crashes on takeoff at New York International Airport, after a rudder
malfunction causes an uncontrolled roll, resulting in the loss of control of the aircraft, with the loss of all 95 on board.
- The S. S. Kresge Company opens its first Kmart discount store in Garden City, Michigan.
March 2 - A military coup in Burma brings General Ne Win to power.
- Wilt Chamberlain's 100-point game: Wilt Chamberlain scores 100 points in a single National Basketball Association basketball game.
March 7 - Ash Wednesday Storm: A snow storm batters the Mid-Atlantic.
March 8-12 - In Geneva, France and the Algerian FLN begin negotiations.
March 15 - Katangan Prime Minister Moise Tshombe begins negotiations to rejoin the Congo.
March 16 - Flying Tiger Line Flight 739, a Lockheed L-1049H Super Constellation chartered by the United States
Military Air Transport Service and carrying mainly United States Army personnel bound for South Vietnam, vanishes over the
western Pacific Ocean with the loss of all 107 on board. No wreckage or bodies are ever found.
March 18 - Évian Accords: France and Algeria sign an agreement in Évian-les-Bains ending the Algerian War.
- Un premier amour, sung by Isabelle Aubret (music by Claude-Henri Vic, text by Roland Stephane Valade), wins the Eurovision
Song Contest 1962 for France.
March 19 - An armistice begins in Algeria; however, the OAS continues its terrorist attacks against Algerians.
- Bob Dylan releases his debut album, Bob Dylan, in the United States.
March 23 - The Scandinavian States of the Nordic Council sign the Helsinki Convention on Nordic Co-operation.
March 24 - OAS leader Edmond Jouhaud is arrested in Oran.
March 26 - France shortens the term for military service from 26 months to 18.
- Baker v. Carr: The U.S. Supreme Court rules that federal courts can order state legislatures to reapportion seats.