Rodriguez said it was "unacceptable and immoral" that "any political differences" between the two countries would translate into measures affecting nationals from either country.
The United States "decided to adopt decisions of a political nature that hurt the Cuban people," said Rodriguez, who spoke in Washington at a meeting of Cubans living in the United States.
"The so-called sonic attacks ... are totally false," said Rodriguez, slamming the allegations as "political manipulation aimed at damaging bilateral relations."
US officials have said the attacks -- which affected at least 24 diplomats at diplomatic residences and hotels in Cuba from November 2016 to August 2017 -- may have been carried out with some kind of covert acoustic device.
Rodriguez also dismissed as false "any type of attack that is invoked," or "any incident" of that kind.
However given the allegations "there has been a serious deterioration in the relationship between both governments and both countries," he said.
Ignoring these arguments, in late September Washington withdrew more than half of its diplomatic staff in Cuba and expelled 15 Cuban diplomats from Washington.
For a month now US officials have stopped issuing visas for Cubans to travel to the United States, a move Cuba calls unjustified.
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