State health Commissioner Kathleen Toomey urged residents to continue wearing masks, practicing social distancing and washing their hands frequently.
Health care officials are currently vaccinating health care workers, first responders and those living in long-term care facilities —all people in the highest-priority groups for getting doses.
In the first phase, priority was given to health care workers and residents and staff at nursing homes and other long-term care facilities.
Cuomo says hospitals need to do a better job of vaccinating the health care workers who are eligible now.
Only health care workers and nursing home residents and staff members are currently being vaccinated in New York.