The deaths of patients occurred over the past 24 hours, but NYC Health and Hospital / Elmhurst said in a statement that the number corresponds to the number of patients with intensive care units being treated there.
"The staff is doing everything in our power to save anyone who contracts Covid-19," the statement states.
Elmhurst is at the center of the crisis, the statement says, and the staff is working to overcome the overwhelming number.
"Frontline staff goes beyond this crisis, and we continue to increase supplies and personnel for this critical facility to keep up with the crisis," the statement said.
"We are literally increasing the effective capacity of the hospital every day by sending more doctors, nurses, ventilators and PPE to meet demand."
New York has ordered residents to stay home to curb the spread of the virus and hopefully ease the pressure on health care. And though Governor Andrew Cuomo pointed to Westchester County – the home of the state's first serious outbreak in New Rochelle – as a marker of the effectiveness of social distancing, cases continue to climb.
Sunday estimates showed that hospitalizations for coronaviruses doubled every other day, he said. But Monday's estimates showed hospital admissions doubled every 3.4 days, and Tuesday's estimates showed hospital admissions doubled every 4.7 days.
Cuomo warned that the rest of the nation could see numbers like those in his state.
"Where we are today, you will be in three weeks or four weeks or five weeks or six weeks," he said. "What we do here will chart the course."
CNN's Eric Levenson, Elizabeth Jospeh and Linh Tran contributed to this report.