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A valid passport and valid visa are required to enter Venezuela. Airlines will refuse to board U.S. citizens who do not possess a valid Venezuelan tourist visa. You can get a Venezuelan visa at the nearest Venezuelan Embassy or Consulate. Some U.S. citizens have been turned back to the United States because their passports were to expire in less than six months. Passports should also be in good condition, as some U.S. citizens have been delayed or detained overnight for having otherwise valid passports in poor condition.
Travelers may be required to show immigration officials proof of accommodation while in Venezuela (meaning proof of a hotel being booked), an adequate means to support themselves (proof of funds) and an onward departure itinerary (meaning a pre-purchased ticket out of the country).
There is no proof required to show that you are a not a dual-Citizen meaning US and Venezuela or US and any other country.
If you do have dual citizenship with Venezuela, then my answer would change - reply and let me know.
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