The New York-based Anti-Defamation League said that the papers also contained "the official passport information" of a Holocaust remembrance organisation, "including all entry and exits from the country and where the members travelled."
Right-wing Argentinian website Analisis24, which published the papers, has attributed them to the Venezuelan secret service.
Abraham Foxman, executive director of the Anti-Defamation League, said that Venezuela, under the rule of Hugo Chavez, had a history of harassing its Jewish community.
Mr Foxman described the "incendiary atmosphere" in a country where Jews have been publicly "accused of disloyalty" and where "the community's institutions and houses of worship have been attacked.
"Reports of this kind of surveillance add fuel to an already incendiary atmosphere inciting prejudice and hate," he added.