Speaking on national television, Maduro said there were 319 confirmed cases of the virus in the South American country, adding: "Unfortunately we have had three deaths from Zika nationwide."
Maduro said 68 patients with complications "have been in intensive care," adding that the country had the necessary drugs to treat them.
Without providing any details, Maduro said that 5,221 suspected cases of Zika had been reported from November 5 until February 8.
The vast majority of Zika cases are mild but it has been linked to a rapid rise in the number of children born with microcephaly -- abnormally small heads and brains -- to mothers infected during pregnancy.
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On January 28, Venezuelan Health Minister Luisana Melo said the country had recorded 4,700 suspected cases.
It was the first such toll from the government in the South American country of 30 million people, which is struggling with an economic and political crisis.
Doctors have warned that acute shortages of medicine and poor access to water -- which has led locals to store water in open containers thereby creating breeding grounds for mosquitoes -- threaten to exacerbate the outbreak of the virus.