The state tallied 671 new deaths on Sunday and hospitals were receiving 2000 news patients a day.
Governor Andrew Cuomo said the deaths and crisis were inflicting a “horrific level of pain and grief and sorrow”.
“This virus is very good at what it does. It is a killer,” he said.
Across the US, deaths nudged 22,000, with nearly 555,000 infections.
Globally, there are 119,000 virus-linked deaths and more than 1.9m infections, according to Johns Hopkins University.
In Italy, the number of deaths related to the coronavirus passed 20,000 after another 566 deaths overnight, up from 431 the day before.
But the number of reported infections increased by about 2.0 per cent to 159,516, a slightly lower rise than the day before.
France reported nearly 15,000 deaths by Monday – the fourth-highest toll in the world – with more than 98,076 confirmed cases
Officials said that 6821 patients were currently in intensive care units.
French President Emmanuel Macron said he was extending a national lockdown until May 11.
Acknowledging his country had not been sufficiently prepared early on to face the challenges posed by the outbreak of the coronavirus, Macron said the unprecedented restrictions put in place were showing results.
“The epidemic is starting to slow down. The results are there,” Macron said.
“Thanks to your efforts, everyday we have made progress.
“But our country was not sufficiently ready for this crisis. We will all draw all the consequences.”
Britain’s virus death toll rose to 11,329, the fifth-highest globally, with warnings the country risked becoming the hardest-hit in Europe.
Germany’s death toll, by contrast, is 2799, with 123,016 infections.
Singapore reported 386 more infections to take its number to 2918, with nine deaths.
Indonesia has imported new coronavirus testing kits from Switzerland and said it would lift testing to 10,000 a day.
The world’s fourth most populous nation has one of the lowest testing rates for the coronavirus, drawing criticism from the World Health Organisation and public health experts.
As of Monday morning, Indonesia had tested 27,000 people, a tenfold increase in the past three weeks but still only about one test for every 10,000 people.
That figure is below India and most other Southeast Asian countries according to analysis by the Our World in Data website
Australia has tested 140 people per 10,000.
Of those tested in Indonesia, 4,557 or about 15 per cent have been found to be infected. Of those found to be infected, almost 9 per cent, or 399 people, have died.
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