The subject of this paper is the Cuban Missile Crisis. The aim of the paper is to analyze the Cuban Missile Crisis, more precisely the causes, course and consequences of that crisis for relations between the USA and the USSR. The Cuban missile crisis, as a unique event in political systems around the world, changed the geopolitical situation on the world political scene, which was dominated by the USA and the USSR as two opposing superpowers. The crisis involved a clash of forces in the immediate vicinity of the US, and the conflict itself did not take place in the traditional sense of the word conflict because no weapons were used. After learning that the Soviets were bringing nuclear weapons to Cuba, US President John F. Kennedy ordered a naval blockade. In the most tense days of the Cuban Missile Crisis, it was not known how the conflict would end and whether nuclear weapons would be used. Fortunately, the crisis was successfully ended on October 28 1962, after Kennedy agreed to remove missiles from Turkey and promised that there would be no invasion of Cuba, and Soviet Prime Minister Nikita Khrushchev to remove nuclear missiles from Cuba. The Cuban leader Fidel Castro ended up only on the sidelines in that conflict, and the importance of Cuba was diminished and neglected. After the end of the Cuban crisis, a new period in the Cold War began, i.e. the policy of détente, which marked the release of tension in the relations between the two superpowers.