Travel could be very hard, the weather service said.
Experts predict the biggest storm of the year to strike Sunday night and into Monday morning.
"New Jersey will be expecting another winter storm today and tomorrow", said Governor Murphy.
During that period, there is a possibility for an inch or more of accumulation per hour, according to the National Weather Service.
Battle rages in Mogadishu as hotel attack death toll nears 30
The death toll from an Al Shabaab suicide auto bombing at a Mogadishu hotel rose to 29 with 80 wounded, police said on Friday. Somalia has been convulsed by lawlessness and violence since 1991 but has stabilised somewhat in recent years.
Snowfall from the quick-moving system will taper off around daybreak on Monday.
Almost 60,000 customers were without electricity from New Jersey to ME, with a large percentage of outages in MA.
Rain and snow will develop Sunday afternoon, then change to all snow into the evening.
The light snow that fell Saturday morning was almost gone by the end of the day, but a more significant late-winter punch is on its way.
"A winter storm moving up the coast will spread several inches of snow over the region tonight, which will likely affect the Monday morning commute", NWS Boston tweeted. Forecasters expect the snowfall to continue until about 10pm.