He grabbed power, he was never elected.
Cuba does not have a "prime minister" as such. The official position of Prime Minister was abolished in 1976, and replaced by the position of "President of the Council of Ministers." The last prime minister was Fidel Castro, who assumed the new position. The current council president is his brother, Raúl Castro, who is concurrently the First Secretary of the Communist Party in Cuba.
Fidel
Fidel Castro was a revolutionary leader who established a communist regime in Cuba. His primary ally in the revolution was Che Guvarra. He was the first secretary of the communist party of Cuba from 1961 to 2011. He was also a Prime Minister, President, and Commander in Chief.
Since 2006, Fidel's brother Raúl has ruled Cuba.
Fidel Castro held the position of Prime Minister of Cuba from 1959 to 1976 and then became the President of the Council of State and the President of the Council of Ministers from 1976 to 2008. After his retirement in 2008, his brother Raul Castro succeeded him as the leader of Cuba.
President of the Council of State and President of the Council of Ministers Gen. Raul CASTRO Ruz (president since 24 February 2008); First Vice President of the Council of State and First Vice President of the Council of Ministers Gen. Jose Ramon MACHADO Ventura (since 24 February 2008); note - the president is both the chief of state and head of government
President Bush expressed the hope that Cuba will improve as far as the human conditions and human rights are concerned.
Raul Castro is the dictator in Cuba since Fidel is dead.
Batista served two different terms as president of Cuba. First from 1940 to 1944, he was preceded by Frederico Laredo Bru. His second term was from 1952 to 1959 and he ousted Carlos Prios Socarras.
in 1959 when Fidel Castro first rose to Power
That would be Cuba.
On July 31, 2006, Raul Castro was elected as the president the President of the Council of State in a provisional transfer of power due to Fidel CastroÕs illness. According to the Cuban Constitution of 1976, Article 94, the First Vice President of the Council of State assumes presidential duties upon the illness or death of the president.