Although Johnson and Kosygin failed to reach agreement on anything important, the generally amicable atmosphere of the summit was referred to as the "Spirit of Glassboro" and is seen to have improved Soviet–US relations.

The "hot line" message arrived at the White House to seek communication between the United States and the Soviet Union.

Alexei Kosygin gives a quick explanation of what the Soviet Union and United States should do in regards to the Middle Eastern Crisis.

When the United States government was informed of this the Americans gladly welcomed Kosygin to a meeting between him and President Lyndon B. Johnson.

Llewellyn Thompson, then US ambassador to the USSR, believed that a conference could "start the process of moving toward an understanding with the Soviets".

Gromyko noted that Soviet-US dialogue which had been suspended in 1963 should be reactivated, despite the Vietnam War putting a great deal strain on the two countries' relations.

In their first meeting held on 23 June 1967 there were only four people present, Alexei Kosygin and Lyndon B. Johnson and their respective interpreters.

During their afternoon meeting, Kosygin told Johnson that he was recently in contact with Phạm Văn Đồng, the Prime Minister of North Vietnam, and that they had discussed the possibilities on putting an end to the war.

Kosygin said, relieving Johnson of his worries, that a North Vietnamese delegation could meet anywhere in the world to discuss a peace settlement with the Americans.

Although Johnson and Kosygin failed to reach agreement on limiting anti-ballistic missile systems, the generally amicable atmosphere of the summit was referred to as the "Spirit of Glassboro".