The weather will impact morning and evening commutes on Monday, the NWS says, and could make travel "very hard to impossible" with blowing snow reducing visibility.
The storm is expected to drop between 5-12 inches of snow in western Passaic County and the lower Hudson Valley, according to an alert by the town's Office of Emergency Management.
The same weather system has been pummeling the US for days as it moves cross country, dumping heavy snow from parts of California to the northern Midwest and inundating other areas with rain.
The National Weather Service in Wyoming reported 10cm of snow fell in Cheyenne from 7pm last Friday through 10am on Saturday "that has been blown all over kingdom come by our winds", said meteorologist Andrew Lyons. The city of Duluth, Minnesota, issued a "no travel advisory" beginning at noon on Saturday because of a major snow storm it termed historic.
Portions of Northern California and Nevada are under winter storm watches or warnings, with NWS Sacramento saying that "travel is highly discouraged" between Saturday morning and Monday evening.
NPR says that according to FlightAware, more than 225 USA flights had been canceled and more than 2,000 delayed on Saturday alone.
The storm dumped mounds of snow in parts of the West - with California getting 4 feet in Big Bear Lake and Cedar Grove - and is now heading into the Central Plains with blizzard conditions.
About 400 flights were cancelled on Saturday.
Before moving east, the storm caused the death of at least one person in South Dakota and closed highways in the western US, affecting travelers over the Thanksgiving holiday.
One pummeling the Great Plains region at the moment is forecast to move east and impact travel into the Northeast by Sunday, she says.
Some planes inbound to Newar, New Jersey were delayed by an average of two-and-a-half hours, with 33 flights cancelled. A new storm in California was also expected to bring rain, gusty winds and several feet of mountain snow during the weekend.
High winds and ice were making travel nearly impossible in some other places, however.
A 100-mile section of Interstate 80 in Nebraska and Wyoming closed Saturday morning because of high winds and blowing snow.
Highways elsewhere were closed down.
The overnight snow also meant the University of Minnesota had to have crews clear the seats at TCF Bank Stadium ahead of Saturday's big college football game against Wisconsin.
On Sunday evening, almost 6,500 flights were delayed within, into or out of the United States and more than 800 had been canceled, according to FlightAware.com.