The U.S. severed ties with Cuba in 1961 after Fidel Castro's revolution, and spent subsequent decades trying to either overthrow the Cuban government or isolate the island, including by toughening an economic embargo first imposed by President Dwight D. Eisenhower.
Under Trump's policy, US businesses will be restricted from transacting with Cuban businesses tied to the country's military - although recently re-established USA commercial travel to Cuba will be allowed to continue.
As for travel, Rubio said individual Americans will be able to travel there as long as they use privately owned lodging like Airbnb.
Specifically, Trump's policy will prohibit "individual people-to-people travel" to Cuba - defined as travel for educational reasons not affiliated with a degree programme or sponsoring organisation, according to the Department of Transportation.
"President Trump will treat the Castro regime as a malevolent dictatorship that it is", Diaz-Balart said.
Will Cuba ever be free?
"A free Cuba is what we will soon achieve", Trump declared after telling the crowd he was happy to be back with all his friends in 'Little Havana'.
Trump also reaffirmed the United States statutory embargo of Cuba and opposed calls in the United Nations and other global forums for the embargo's termination.
Trump rarely cites human rights in his foreign policy decisions, and doing so now seemed to be in part a rhetorical nod to Republican Sen.
The primary concern in the president's policy, he said, is ending oppression of the Cuban people and rampant crime.
After Castro's passing a year ago, Trudeau praised the communist leader and family friend as a "legendary revolutionary and orator", drawing rebukes from American conservatives who said he was praising a cruel dictator. "Today, I am announcing a new policy just as I promised the Cuban people". USA airlines and cruise ships would also still be allowed to carry passengers to and from Cuba.
The U.S. Embassy in Havana, which reopened in August 2015, will remain as a full-fledged diplomatic outpost.
Of major note, there will be no change to the "wet foot, dry foot" policy and the USA embassy in Cuba will also remain open. Trump said the US would not lift the embargo before the Cuban regime frees political prisoners, allows freedom of assembly and expression, legalizes political parties, and allow worldwide observation of scheduled elections. (AP) New Jersey State Trooper Werner Foerster was murdered in 1973.
The faces of U.S. -Cuba relations are changing. The Cuban government will have to respect #Human Rights, including freedom of expression and assembly, and hold free and fair elections. The embargo remains in place and unchanged by Trump's policy.
The effect on USA missions to Cuba and on the Cuban church itself is still unclear, especially as the Treasury Department has announced that it is still working through the specifics of travel regulations.
Reaction to the changes split largely along partisan lines. The Florida senator added that he believes when the "enslaved island" is free, people and history will say one key moment happened on this day.
President Trump is basically following Cuban dissidents' lead, including those who supported Obama's opening to their country.