New York Gov. Andrew Cuomo said Monday the state is "controlling the spread" of the coronavirus, and it appears that "the worst is over ... if we continue to be smart going forward."

At the same time, Cuomo revealed that the death toll from Covid-19 in New York — which is the epicenter of the pandemic in the United States — has topped 10,000 people.

Cuomo called the death tally a "horrific level of pain and grief and sorrow."

But he pointed to a flattening of the daily death toll, the flattening in the net number of hospitalizations and a drop in the number of people on ventilators as evidence that radical measures such as the shuttering of nonessential businesses have helped to contain the virus.

He said the death toll for Sunday was 671, versus 758 on Saturday.

"We're controlling the spread," Cuomo said at a press conference in Albany. "The worst can be over, and is over, unless we do something reckless."

"You can turn those numbers on two or three days of reckless behaviors," he said.

Cuomo said he will make an announcement later Monday about plans for reopening the state in conjunction with some other governors.

He said he and governors from Connecticut, New Jersey, Pennsylvania, Delaware and Rhode Island have been talking "for the past couple of days, about coming up with, how do we come up with a reopening plan? And can we work together on a reopening plan?"

The new deaths recorded in New York state on Easter Sunday brought the state's total 10,056, Cuomo said.

"For me, I'm Catholic, Easter Sunday is the high holy day in many ways ... and to have this happen over this weekend is really really especially tragic and they're all in our thoughts and prayers."

He noted that the state's total number of fatalities from the virus dwarfed the 2,753 deaths in the terrorist attacks in New York City on Sept. 11, 2001.

But Cuomo noted that the daily number of new deaths has dropped a bit from some recent days, when new fatalities had topped 750 people each day.