According to Nikita Khrushchev's memoirs, in May 1962 he conceived the idea of placing intermediate-range nuclear missiles in Cuba as a means of countering an emerging lead of the United States in developing and deploying strategic missiles. He also presented the scheme as a means of protecting Cuba from another United States-sponsored invasion, such as the failed attempt at the Bay of Pigs in 1961.
After obtaining Fidel Castro's approval, the Soviet Union worked quickly and secretly to build missile installations in Cuba. On October 16, President John Kennedy was shown reconnaissance photographs of Soviet missile installations under construction in Cuba. After seven days of guarded and intense debate in the United States administration, during which Soviet diplomats denied that installations for offensive missiles were being built in Cuba, President Kennedy, in a televised address on October 22, announced the discovery of the installations and proclaimed that any nuclear missile attack from Cuba would be regarded as an attack by the Soviet Union and would be responded to accordingly. He also imposed a naval quarantine on Cuba to prevent further Soviet shipments of offensive military weapons from arriving there.
During the crisis, the two sides exchanged many letters and other communications, both formal and "back channel." Khrushchev sent letters to Kennedy on October 23 and 24 indicating the deterrent nature of the missiles in Cuba and the peaceful intentions of the Soviet Union. On October 26, Khrushchev sent Kennedy a long rambling letter seemingly proposing that the missile installations would be dismantled and personnel removed in exchange for United States assurances that it or its proxies would not invade Cuba. On October 27, another letter to Kennedy arrived from Khrushchev, suggesting that missile installations in Cuba would be dismantled if the United States dismantled its missile installations in Turkey. The American administration decided to ignore this second letter and to accept the offer outlined in the letter of October 26. Khrushchev then announced on October 28 that he would dismantle the installations and return them to the Soviet Union, expressing his trust that the United States would not invade Cuba. Further negotiations were held to implement the October 28 agreement, including a United States demand that Soviet light bombers also be removed from Cuba, and to specify the exact form and conditions of United States assurances not to invade Cuba.
Khrushchev and Kennedy Letters - facsimile
Khrushchev and Kennedy Letters - translation