At least 36 Cuban opposition activists have been released from prison since January 7, according to dissident organizations.
They are believed to be from a list of 53 activists the US requested to be freed as part of efforts to mend links.
White House spokesman Eric Schultz said the US was pleased with the move.
Cuba and the US announced last month they had agreed to restore diplomatic relations, severed since 1961.
The American government is confident that the Cuban authorities will keep their word and release more political prisoners, said Eric Schultz.
The 53 names put forward by the US have not been disclosed.
Twenty-nine of the activists released since January 7 are from the dissident Patriotic Union of Cuba (UNPACU).
“Our freed prisoners are committed to continue fighting for the democratic Cuba which we all want,” the group’s leader, Jose Daniel Ferrer, said in a statement.
“The UNPACU activists have left prison with more energy, force and motivation than they had when they were jailed.”
On January 8, the US announced that Assistant Secretary of State Roberta Jacobson would lead a delegation travelling to the capital, Havana, later this month.
These will be the first high level talks since Cuba and the US announced that they were restoring relations.
The US Department of State said the talks – to take place on January 21 and 22 – will focus on migration.
They will also discuss the practicalities of reopening embassies in Washington DC and Havana, said the Department of State.
The rapprochement process was announced by President Barack Obama and his Cuban counterpart Raul Castro on December 17.
Barack Obama’s proposal to restore relations still needs to be approved by Congress, where it faces opposition from many Republicans and anti-Castro lawmakers.
The US says it will continue to push Raul Castro’s government to respect human rights and the freedom of speech.
Senator Marco Rubio, a leading critic of President Barack Obama on the Cuba question, and other Cuban-Americans in Congress have argued that the president’s change of policy could provide legitimacy and money for the Cuban government while it continues to violate human rights.
Last week, the Cuban authorities detained several high-profile dissidents who were planning to stage an open microphone protest in Havana’s Revolution Square.
The US Department of State issued a statement saying it was “deeply concerned” by the reports. The activists were eventually released.
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