June 1: Vyacheslav Molotov resigns as foreign minister of the Soviet Union; he later becomes ambassador in Mongolia.
June 3: British Rail renames 'Third Class' passenger facilities as 'Second Class' (Second Class facilities had been abolished in 1875, leaving just First Class and Third Class).
June 5: Elvis Presley introduces his new single, "Hound Dog", on The Milton Berle Show, scandalizing the audience with his suggestive hip movements.
June 6: In Singapore, chief minister David Marshall resigns after the breakdown of talks about internal self-government in London.
June 8: General Electric/Telechron introduces model 7H241 "The Snooz Alarm", first snooze alarm clock ever.
June 10: 1956 Summer Olympics: Equestrian events open in Stockholm, Sweden (all other events are held in November in Melbourne, Australia).
June 13: International Criminal Police Organization (ICPO).
June 14: The Flag of the United States Army is formally dedicated.
June 15: Eindhoven University of Technology is founded in Eindhoven, The Netherlands.
June 18: The last foreign troops leave Egypt.
June 23: Gamal Abdel Nasser becomes the 2nd president of Egypt.
June 28: MP Sydney Silverman's bill for the abolition of the death penalty in the UK passes the British House of Commons. - Labour riots in Poznan', Poland, are crushed with heavy loss of life. Soviet troops fire at a crowd that protests high prices, killing 53. - The film version of Rodgers and Hammerstein's The King and I, starring Deborah Kerr and Yul Brynner, is released only a few months after the film version of R&H's Carousel. It becomes the most financially successful film version of a Rodgers and Hammerstein musical up to that time, and the only one to win an acting Oscar (Yul Brynner wins Best Actor for his performance as the King of Siam). It is also one of two Rodgers and Hammerstein films to be nominated for Best Picture (which it does not win).
June 29: Actress Marilyn Monroe marries playwright Arthur Miller. - President Dwight D. Eisenhower signs the Federal Aid Highway Act, creating the Interstate Highway System
June 30: A TWA Lockheed Constellation and United Airlines Douglas DC-7 collide in mid-air over the Grand Canyon in Arizona, killing all 128 people aboard both aircraft in the deadliest civil aviation disaster to date; the accident leads to sweeping changes in the regulation of cross-country flight and air traffic control over the United States. (source: Wikipedia)