Former Florida Gov. Jeb Bush, a possible presidential candidate, on Wednesday came out strongly against President Obama's move on Cuba, saying it has "rewarded" dictators.

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"Cuba is a dictatorship with a disastrous human rights record, and now President Obama has rewarded those dictators," Bush said in a Facebook post. "We should instead be fostering efforts that will truly lead to the fair, legitimate democracy that will ultimately prevail in Cuba."

Bush, who on Tuesday announced that he had decided to "actively consider" a run for president, also linked the Cuba issue to Obama's foreign policy and executive actions as a whole. 

"The Obama administration’s decision to restore diplomatic ties with Cuba is the latest foreign policy misstep by this president, and another dramatic overreach of his executive authority," Bush said. "It undermines America’s credibility and undermines the quest for a free and democratic Cuba."

Obama on Wednesday announced that he is moving to open an embassy in Cuba as well as ease travel and economic restrictions. American aid worker Alan Gross as well as unnamed intelligence asset were released from prison, and the U.S. gave up three convicted Cuban spies. 

"I am delighted that Alan Gross has been released," Bush wrote. "It will be a joy and relief for his wife and family to have him home this Hanukkah season. He is innocent and should never have been in prison in the first place, nor spent five long years there as he suffered in poor health. It is, however, unfortunate that the United States chose to release three convicted spies."

Bush's comments add to his remark earlier in the day that the U.S. should not negotiate with a "repressive regime."

"The benefactors of President Obama’s ill-advised move will be the heinous Castro brothers who have oppressed the Cuban people for decades," Bush wrote.