New York City health officials say that at least 16 of the people who have died had underlying health conditions.
The city also said more than 1,000 cases of swine flu have been confirmed.
Nassau County on Long Island also reported one death from swine flu on Tuesday, a woman in her 20s who had given birth 10 days earlier.
The woman with confirmed H1N1 Influenza A virus recently gave birth.
The victim, between the ages of 20 and 30, was admitted to the hospital on June 5 with fever and respiratory symptoms and was confirmed with H1N1 Influenza A virus on June 15 by the New York State Department of Health's Wadsworth Laboratory.
She delivered a healthy baby by caesarian section on June 5 and, on June 7, was transferred to the intensive care unit.
She died Tuesday.
An autopsy will be performed by the Nassau County Medical Examiner's Office.
Pregnant women are a known high-risk group for both seasonal and H1N1 Influenza A virus.
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