The Cuban statement criticised the "hostile rhetoric that recalls the time of open confrontation", and "return to the coercive methods of the past". "We reject Donald Trump's declarations against our brother Cuba".
United States companies and citizens will also be barred from doing business with any firm controlled by the Cuban military or its intelligence or security services, walling off crucial parts of the economy, including much of the tourist sector, from U.S. access.
In a written statement, published on Friday night, the Cuban government called President Trump's announcement a step back in relations.
By canceling Obama's Cuba deal, the Post reported, Trump could "neutralize a chief rival's ability to gain an early advantage". In practice, however, many recent changes to boost ties to Cuba will stay as they are.
There is no doubt that if the United States wants to influence Cuba, the best policy is to engage more with Cuba, not disengage.
The lengthy statement went on to strike a conciliatory tone, saying Cuba wants to continue negotiations with the USA on a variety of subjects.
Yet not everything has been made clear regarding specifics on travel regulations for US nations, or as to just how many of Obama's decisions regarding the island nation will be turned on their head.
He alleged that for almost six decades, the Cuban people had suffered under the Communist domination.
But individual "people-to-people" trips by Americans to Cuba, allowed by Obama for the first time in decades, will again be prohibited.
In addition, the USA government is to police other trips to ensure travelers are pursuing a "full-time schedule of educational exchange activities".
Rhodes was instrumental in the Obama administration's efforts to restore diplomatic relations with Cuba and ease travel restrictions with the island nation, which has been under a US embargo for more than four decades.
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The cruises and direct flights between the United States and Cuba will be protected under an exemption of the prohibition of transactions with entities controlled by the military. "Yes, you should go".
The new realities of U.S.travel to Cuba will be determined by the regulations that federal agencies will produce as a result of the new policy.
Yet it also exposed the shortcomings in Obama's approach.
"The confusion that will surround this policy will undoubtedly stifle USA demand to travel to the island", she said.
The new policy aims to starve military-linked businesses of cash by banning any USA payments to them. Other dissidents agree repression has worsened but say rolling back the detente, which will hurt ordinary Cubans, is not the solution.
Eased restrictions fuelled a boom US tourist arrivals, especially in Havana, creating demand for more bed and breakfasts, restaurants, taxis and tour guides in the fledgling private sector. "We're the ones who are hurt".
Emmer, who's been one of Trump's most enthusiastic backers on Capitol Hill, echoed Crawford's criticism, saying Trump's Cuba directive appears to be in violation of his promise to keep the American homeland safe.
The Cuban government has given Trump's speech extensive coverage on official media. And, of course, nothing prevents the Cuban government from simply moving revenue over to the military or state security, a vulnerability in the policy that the White House has not addressed. But those businesses host hundreds of thousands of Canadian, European and Latin American tourists a year, and do unfettered business with corporations from around the world, reducing the impact of any USA cutoff. Trump, on the other hand, described his move as an effort to bring about a "free Cuba" after more than half a century of communism. "But that may be the beginning of the end of our point of agreement", Small said. "It's about us helping them and their people as well", says Jim Byrum, the president of the Michigan Agri-Business Association.
"The Cuban government denounces the new measures hardening the blockade that are destined to fail. and that will not achieve their aim of weakening the revolution", Havana said.
Obama announced in December 2014 that he and Castro were restoring ties.