June – 1969

• June 3 – While operating at sea on SEATO maneuvers, the Australian aircraft carrier HMAS Melbourne accidentally rams and slices in two the American destroyer USS Frank E. Evans in the South China Sea, killing 74 American seamen.
• June 5 – An international communist conference begins in Moscow.
• June 7 – The rock group Blind Faith plays its first gig in front of 100,000 people in London's Hyde Park.
• June 8 – U.S. President Richard Nixon and South Vietnamese President Nguyễn Văn Thiệu meet at Midway Island. Nixon announces that 25,000 U.S. troops will be withdrawn by September.
• June 17 – After a 23-game match, Boris Spassky defeats Tigran Petrosian to become the World Chess Champion in Moscow.
• June 18–June 22 – The National Convention of the Students for a Democratic Society, held in Chicago, collapses, and the Weatherman faction seizes control of the SDS National Office. Thereafter, any activity run from the National Office or bearing the name of SDS is Weatherman-controlled.
• June 20 – Georges Pompidou is elected President of France.
• June 22
  • The Cuyahoga River fire helps spur an avalanche of water pollution control activities resulting in the Clean Water Act, Great Lakes Water Quality Agreement and the creation of the federal Environmental Protection Agency.
  • Judy Garland dies of a drug overdose in her London home.
• June 23 – Warren E. Burger is sworn in as Chief Justice of the United States by retiring Chief Justice Earl Warren.
• June 24 – The United Kingdom and Rhodesia sever diplomatic ties.
• June 28 – The Stonewall riots in New York City mark the start of the modern gay rights movement in the U.S.

June – 1968

• June 1 – Helen Keller dies at the age of 87 years.
• June 3 – Radical feminist Valerie Solanas shoots Andy Warhol as he enters his studio, wounding him.
• June 4 – The Standard & Poor's 500 index closes above 100 for the first time, at 100.38.
• June 4 – Pierre Elliott Trudeau becomes the 15th Prime Minister of Canada.^[6]
• June 5 – U.S. presidential candidate Robert F. Kennedy is shot at the Ambassador Hotel in Los Angeles by Sirhan Sirhan. Kennedy dies from his injuries the next day.
• June 8 – James Earl Ray is arrested for the assassination of Martin Luther King, Jr..
• June 10 – Italy beats Yugoslavia 2–0 in a replay to win the 1968 European Championship. The original final on June 8 ended 1–1.
• June 12 – The film Rosemary's Baby premieres in the U.S.
• June 17 – The Malayan Communist Party launches a second insurgency and the state of emergency is again imposed in Malaysia.
• June 20 – Austin Currie, Member of Parliament at Stormont in Northern Ireland, along with others, squats a house in Caledon to protest discrimination in housing allocations.
• June 23 – A football stampede in Buenos Aires leaves 74 dead and 150 injured.
• June 24 – Giorgio Rosa declares the independence of his Republic of Rose Island, an artificial island off Rimini, Italy. Italian troops demolish it not long after.
• June 26 – The Bonin Islands are returned to Japan after 23 years of occupation by the United States Navy.
• June 30 – The Lockheed C-5 Galaxy heavy military transport aircraft first flies in the U.S. This model will still be in service 40 years later.

June - 1967

• June – Moshe Dayan becomes Israel's Minister of Defense.
• June 1 – The Beatles release Sgt. Pepper's Lonely Hearts Club Band, nicknamed "The Soundtrack of the Summer of Love"; it will be number one on the albums charts throughout the summer of 1967.
• June 2
  • Protests in West Berlin against the arrival of the Shah of Iran turn into fights, during which 27-year-old Benno Ohnesorg is killed by a police officer. His death results in the founding of the terrorist group 2 June Movement.
  • Luis Monge is executed in Colorado's gas chamber, in the last pre-Furman execution in the United States.
• June 4 – Stockport air disaster: British Midland flight G-ALHG crashes in Hopes Carr, Stockport, killing 72 passengers and crew.
• June 5
  • Murderer Richard Speck is sentenced to death in the electric chair for killing 8 student nurses in Chicago.
  • Six-Day War begins: Israel occupies the West Bank, Gaza Strip, Sinai Peninsula and Golan Heights after defeating its Arab neighbours.
• June 7 – Two Moby Grape members are arrested for contributing to the delinquency of minors.
• June 8 – Six-Day War – USS Liberty incident: Israeli fighter jets and Israeli warships fire at the USS Liberty off Gaza, killing 34 and wounding 171.
• June 10
  • Six-Day War ends: Israel and Syria agree to a United Nations-mediated cease-fire.
  • The Soviet Union severs diplomatic relations with Israel.
  • Margrethe, heir apparent to the throne of Denmark, marries French count Henri de Laborde de Monpezat.
• June 11 – A race riot occurs in Tampa, Florida after the shooting death of Martin Chambers by police while allegedly robbing a camera store. The unrest lasts several days.
• June 12
  • Loving v. Virginia: The United States Supreme Court declares all U.S. state laws prohibiting interracial marriage to be unconstitutional.^[5]
  • Venera program: Venera 4 is launched by the Soviet Union (the first space probe to enter another planet's atmosphere and successfully return data).
• June 13 – Solicitor General Thurgood Marshall is nominated as the first African American justice of the United States Supreme Court.^[6]
• June 14 – Mariner program: Mariner 5 is launched toward Venus.
• June 14–June 15 – Glenn Gould records Prokofiev's Seventh Piano Sonata, Op. 83, in New York City (his only recording of a Prokofiev composition).
• June 16 – The Monterey Pop Festival begins and is held for 3 days.
• June 17 – The People's Republic of China tests its first hydrogen bomb.^[7]
• June 18 – Eighteen British soldiers are killed in the Aden police mutiny.^[8]
• June 23 – Cold War: U.S. President Lyndon B. Johnson meets with Soviet Premier Alexei Kosygin in Glassboro, New Jersey, for the 3-day Glassboro Summit Conference. Johnson travels to Los Angeles for a dinner at the Century Plaza Hotel where earlier in the day thousands of war protesters clashed with L.A. police.^[9]
• June 25 – 400 million viewers watch Our World, the first live, international, satellite television production. It features the live debut of The Beatles' song "All You Need Is Love".
• June 26
  • Pope Paul VI ordains 27 new cardinals (one of whom is the future Pope John Paul II).

• The Buffalo Race Riot begins, lasting until July 1; leads to 200 arrests.June 27 – The first automatic cash machine (voucher-based) is installed, in the office of the Barclays Bank in Enfield, England.
• June 28 – Israel declares the annexation of East Jerusalem.
• June 30 – Moise Tshombe, former President of Katanga and former prime minister of the Democratic Republic of the Congo, is kidnapped to Algeria.