The heavy snow and high winds left more than 11,000 homes and businesses without power in the early morning hours in parts of Nova Scotia and New Brunswick.
By midday, electricity had been restored to about 6,000 of the 10,000 affected customers in Nova Scotia, according to Margaret Murphy, a spokesperson fro Nova Scotia Power.
"We're making good progress and everybody should be back on by suppertime," Murphy told The Canadian Press.
In New Brunswick, about 1,200 customers, most of them in the Shediac area, are without power, according to NB Power.
The storm has closed most roads in southwestern Nova Scotia, including Highway 104 between Truro, N.S. and the New Brunswick border.
Plows were back out Saturday morning after being forced off the roads for several hours overnight due to blowing snow conditions.
On Wednesday, about 1,500 motorists were stranded for up to 16 hours on the Cobequid Pass, a hilly toll section of Highway 104, during the region's first snowstorm.
Ferry service between Nova Scotia and Newfoundland has also been delayed, while high winds have restricted travel on the Confederation Bridge to Prince Edward Island.
Motorcycles, cars towing trailers, trucks, tractor trailers and buses were all prohibited from crossing the 13-kilometre bridge.
Both Halifax International Airport and Moncton International Airport are reporting cancellations and delays.
Winter storm warnings are still in effect for parts of Nova Scotia, New Brunswick and Prince Edward Island, while snowfall warnings have been issued for parts of southern Quebec.
Snowstorms have also battered parts of Europe, including England, Germany, Bulgaria and Austria.
Two people have been killed and several injured in Germany, where ice and snow have made driving nearly impossible.
With files from The Canadian Press