NEW YORK—New York will lift more COVID-19 rules once 70% of adults have at least one shot of a COVID-19 vaccine, a target that Gov. Andrew Cuomo says he hopes his state could reach in days.

Nearly 69% of New York adults have received at least one vaccination dose, according to the latest federal data. A smaller percentage of New York state’s 20 million residents have received at least one dose: 56%, or 11 million residents.

Once New York hits the 70% target, unvaccinated people will still have to wear masks and stay 6 feet (about 1.8 meters) from others on subways and buses, large-scale event venues, schools, nursing homes and hospitals. The state will lift any remaining health screening, contact tracing and cleaning and disinfection rules elsewhere.