New York’s mayor said the storm could be the city’s biggest ever, telling residents to “prepare for the worst”.
Heavy snowfall is forecast from Philadelphia to Maine. More than 3,000 flights have already been cancelled.
A blizzard warning has been issued for New York and Boston from Monday afternoon until Tuesday.
More than 1,800 flights on January 26 and more than 1,600 on January 27 had been cancelled, according to the website FlightAware.
Airports in New York, Boston and Philadelphia have already been affected.
NYC Mayor Bill de Blasio showed journalists a list of the city’s top 10 snowstorms, dating back to 1872.
“This could be the biggest snowstorm in the history of this city,” Bill de Blasio said, telling New Yorkers to “prepare for something worse than we have seen before”.
“Prepare to be safe, take every precaution. Now is the time to get ready for this extreme weather.”
Some residents have already begun stocking up on food, water and other essential items.
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