May 2 – in Ceylon left-wing guerillas launch a series of assaults against public buildings
May 3 – Harris public opinion poll claims that 60% of Americans are against the war in Vietnam
May 3 – East German leader Walter Ulbricht resigns as a party leader but retains the positions of the head of state
May 3 - Anti-war militants attempt to disrupt government business in Washington, D.C.; police and military units arrest as many as 12,000, most of whom are later released.
June 1 - Vietnam War: Vietnam Veterans for a Just Peace , claiming to represent the majority of U.S. veterans who served in southeast Asia, speak against war protests
June 17 - Representatives of Japan and the United States sign the Okinawa Reversion Agreement , setting out a plan where the U.S. would return control of Okinawa.[2]
June 20 – Britain announces that Soviet space scientist Anatoli Fedosejev has been granted asylum
June 21 – Britain begins new negotiations for EEC membership in Luxembourg
June 25 – Madagascar accuses USA of being connected to the plot to oust the current government – USA recalls its ambassador
June 28 - Black assassin Jerome A. Johnson shoots Joe Colombo to the head in a middle of a Italian-American rally. Colombo goes into coma
June 30 - The crew of the Soyuz 11 spacecraft are killed when their air supply leaks out through a faulty valve.