President Nicolás Maduro is in custody at a New York detention centre after he was captured during US strikes.
Maduro and his wife, First Lady Cilia Flores, were taken from the capital Caracas to the Metropolitan Detention Center in Brooklyn to face drug trafficking-related charges.
He has previously denied being the leader of a drug cartel.
Venezuela has declared a state of national emergency and denounces the "military aggression".
President Donald Trump says the US is going to "run" Venezuela "until such time as we can do a safe, proper and judicious transition".
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