Flurries are expected to start falling around 7 p.m. Tuesday, the National Weather Service said.
The city could get hit by up to two inches of snow Tuesday, experts said.
Schools were open and subways running close to normal for Monday's rush-hour commute.
Forecasters predicted the city could see as much as 10 inches of snow on Sunday through Monday.
A wintry mix of snow, sleet and rain is expected to hit Monday afternoon.
Central Park is looking at another two inches of snow Wednesday, the National Weather Service said.
The city is looking at yet another snowfall Tuesday.
Meteorologists said the storm could dump up to 10 inches of snow on the city, starting Thursday morning.
The city could get another 6 inches of snow by Thursday night, the National Weather Service said.
Snow is expected to start falling Saturday night, leaving a couple more inches on the city.
The snow is expected to begin around midnight and could last into Wednesday evening.
A glass panel outside the Fifth Avenue Apple store broke as the winter storm pounded the city.
More than a foot of snow fell on parts of the city, the National Weather Service said.
The winter storm was expected to drop up to 14 inches of snow on New York City.
Below-freezing wind chills and 6 to 10 inches of snow are forecast to hit the city Tuesday.
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