June 3 – South Korean President Park Chung Hee declares martial law in Seoul, after 10,000 student demonstrators overpower police.

June 11 - Greece rejects direct talks with Turkey over Cyprus.

In Cologne, West Germany, Walter Seifert attacks students and teachers in an elementary school with a flamethrower, killing 10 and injuring 21.

June 12 – Nelson Mandela and 7 others are sentenced to life imprisonment in South Africa, and sent to the Robben Island prison.

June 14 – Freedom Summer, a volunteer Civil Rights project in the United States intended to promote voter registration for as many African Americans as possible in Mississippi, begins with orientation sessions for the 300 volunteers at Western College for Women, Oxford, Ohio.

June 20 – The Ford GT40 makes its first appearance at the 24 Hours of Le Mans. Its first victory will come 2 years later in 1966.

June 21 – Spain beats the Soviet Union 2–1 to win the 1964 European Nations Cup.

June 26 – Moise Tshombe returns to the Democratic Republic of the Congo from exile in Spain. (source: Wikipedia)