Media playback is unsupported on your device
19 December 2014 Last updated at 07:35 GMT
Cuba is an island in the Caribbean.
It's less than 100 miles away from the United States.
But the two countries have argued for more than 50 years.
Cuba and America were friends until 1959, when two brothers - Fidel and Raul Castro - grabbed power.
This is a tale of two countries - America and Cuba - old enemies that might now become friends.