In Wednesday's press conference, Cuomo took shots at the federal government and President Donald Trump.
Discussing why NY was so badly affected, Mr Cuomo said: "I think it's because we welcome people from around the world and the virus was likely here before anyone knew".
Notably, the severe scenario modeled in the report found that 128,552 patients would be hospitalized during "peak week" of the hypothetical pandemic, which NY would need 18,619 ventilators to treat.
Cuomo has said that NY has between 3,000 and 4,000 ventilators.
NY is now the epicenter of Covid-19 in the United States, with over 30,000 cases.
Watch Cuomo live via live stream from NBC.
"FEMA says, 'we're sending 400 ventilators.' Really?" "People around me I know are dying".
The school still needs the plan to be approved by state and education officials, but as of Wednesday, at least 69 students had volunteered.
"If you rethought that or had time to analyze that public health strategy, I don't know that you would say quarantine everyone", Cuomo admitted.
Anthony Fauci, director of the US National Institute of Allergy and Infectious Diseases, told WNYC public radio that the changing weather could help fight the virus because generally warm and moist conditions are better than a cold, dry winter.
Asked about guidelines being drafted on how to allocate ventilators to patients in case of a shortage, New Jersey Governor Phil Murphy said such bioethical discussions "haunted him" but were unavoidable in the current situation.
Meanwhile, New York's attorney general, Letitia James, addressed yet another health crisis and risky byproduct of the virus: persecution targeting Asian Americans.
Cuomo said that 5,000 who contracted the virus were now hospitalized, 1,290 were in the ICU.
Cuomo went on to say that his team has been talking to the White House about the concept of "rolling deployment" to coronavirus "hotspots" in a time when NY has "the greatest need in terms of numbers".
The governor commended the president for utilizing the Defense Production Act as a leveraging tool to get more medical equipment and said getting 30,000 ventilators "is an extraordinarily hard task" but "it's something that our team is working on with the White House team, and I want to thank the president for his cooperation and his team for their cooperation".
'So we're all over the ventilators issue, but the number of ventilators we need is so astronomical it's not likely [the federal government agencies] have them sitting in a warehouse.
"This is the time for governmental leaders to stop making excuses and just do your job", said Cuomo.
Breaking the orders is a misdemeanor punishable by a citation with a fine of up to $500, Beck said.
Deborah Birx, the co-ordinator of the White House's coronavirus task force has also revealed an estimated one in every 1,000 New Yorkers have been exposed to the virus. Residents are asked to limit outdoor activities to non-contact activities.
Los Angeles Mayor Eric Garcetti clarified Wednesday that the city also will be enforcing restrictions against non-essential businesses that are staying open. The previous high was 695,000 claims filed in the week ending October 2, 1982.
Hopes that the outbreak could subside by summer might not be realistic, a Harvard doctor said Thursday.
"This is going to form a new generation and transform who we are".
"Once we have a vaccine that's effective and widely deployed, we can bring the pandemic to an end", Jha said. "Until that time, we are going to continue to have to confront and deal with the virus".