January 12 - Lyndon Johnson states that the United States should stay in South Vietnam until Communist aggression there is ended.
January 17 - A B-52 bomber collides with a KC-135 jet tanker over Spain, dropping three 70-kiloton hydrogen bombs near the town of Palomares and one into the sea .
January 27 - British government promises USA that British troops in Malaysia stay until more peaceful conditions in the region.
February 11 - Belgian government resigns.
March 1 - Soviet space probe Venera 3 crashes on Venus, becoming the first spacecraft to land on another planet's surface.
March 4 - The Beatles: In an interview published in The Evening Standard, John Lennon comments, "We're more popular than Jesus now," eventually sparking a controversy in the United States.
March 8 – Ronald Kray, one of the Kray twins, shoots rival gangster George Cornell; the incident leads to brother's incarceration.
March 31 - The Labour Party under Harold Wilson win the British General Election.
May 6 - The Moors Murderers Ian Brady and Myra Hindley sentenced for life imprisonment.
May 16 - Legendary album Pet Sounds by Beach Boys released.
June 2 - Surveyor program: Surveyor 1 lands in Oceanus Procellarumon the Moon, becoming the first spacecraft to soft land on another world.
July 30 - England beat West Germany 4-2 to win the World Cup at Wembley.
August 1 - Sniper Charles Whitman kills 13 from the University of Texas at Austin Main Building.
August 5 - Martin Luther King leads a civil rights march in Chicago.
August 29 - The Beatles play their very last concert at Candlestick Park in San Francisco, California.
September 8 - "The Man Trap”, the first episode of the science fiction television series Star Trek airs.