The singer, hugely successful in France, was flown by helicopter to a hospital in Pointe-a-Pitre from the nearby island of Saint-Barthelemy.
Johnny Hallyday, 69, fell ill with tachycardia on Saturday while on holiday.
The French news channel TF1 says he is in intensive care and is conscious.
RTL radio reports that his wife Laeticia and other family members are with him and want to transfer him to the French island of Martinique.
Johnny Hallyday has been recording a new album, expected to be released in November.
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