They swam to it, they said, after their boat capsized at sea.
A U.S. Coast Guard helicopter crew rescued two men and a woman from an uninhabited island where they appeared to have spent more than a month.
This was reported by Coast Guard officials.
The report said the three men, later identified as Cuban nationals, were initially spotted Monday by a Coast Guard helicopter flying over an uninhabited island between the U.S. city of Key West, Florida, and Cuba during a routine patrol.
The helicopter crew spotted three people waving. The pilots dropped food, water, and a radio so they could make contact.
The report said the Coast Guard sent a second helicopter on Tuesday to pick them up.
They told officials that their boat capsized during a disturbance at sea, but they managed to swim to the island.
According to local media reports, they fed on coconuts, clams, and rats.