Cuomo said 507 people died on Saturday, down 43 from the previous day.
Hospitalizations and other medical indicators are trending downward.
But Cuomo and Mayor Bill de Blasio maintained their warnings that people in New York City and the rest of the state need to stay vigilant to curb the spread of the virus.
"We showed that we can control the beast and when you close down, you can actually slow that infection rate, but this is only halftime," Cuomo said Sunday at a briefing. We still have to make sure that we keep that beast under control, we keep that infection rate down, we keep that hospitalization rate down as we all get very eager to get on with life and move on."
MORE CORONAVIRUS COVID-19 COVERAGE
UPDATES
Grieving the lost: Tri-State residents who have died
New Jersey
Connecticut
New York City
Long Island
RESOURCES
Where are the testing centers
See how our communities are making a difference
Free educational resources for parents and children
How you can help victims of coronavirus
RELATED INFORMATION
Share your coronavirus story with Eyewitness News
Stimulus check scams and other coronavirus hoaxes
Coronavirus prevention: how clean are your hands?
Centers for Disease Control and Prevention on coronavirus
Total count of NYC COVID-19 cases based on patient address