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The main cause of hostility, between the United States and Cuba, was the embargo imposed on Cuba (via the Kennedy administration).
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Additional information:
The United States recognized Cuba the new Cuban government under Fidel Castro in 1959. The relations between the two countries quickly deteriorated, and the government of Cuba was shifting towards a Marist-Leninist system. Since the US was so afraid of communism, the country immediately established an embargo on Cuba in October of 1960. Not too long after the embargo, the US supported the plan for Cuban exiles to start an invasion on the island.
Cuba was looking for allies to help and established closed ties with the Soviet Union; Cuba went as far as installing Soviet missiles off its coast.
