- Jan 1 European Economic Community, better known as the European Common Market starts operation
- Mar 27 Nikita Khrushchev becomes Soviet Premier as well as First Secretary of the Communist Party
- May 23 Mao Zedong starts the "Great Leap Forward" movement in China
- Aug 1 US atomic submarine USS Nautilus begins 1st transit of North Pole "operation Sunshine"
- Sep 12 US Supreme Court orders the all-white Central High School in Little Rock, Arkansas to integrate
- Dec 19 1st radio broadcast from space, US President Dwight D. Eisenhower Christmas message "to all mankind, America's wish for peace on Earth and goodwill to men everywhere"
- Dec 31 Cuban dictator Fulgencio Batista tells his Cabinet he is fleeing the country
- Aug 3 The Billboard Hot 100 is founded
1st march against nuclear weapons (Aldermaston, England)
On April 4, 1958
Project SCORE, world’s first communications satellite launched from Cape Canaveral
On December 18, 1958