The majority of those blacked-out customers are in the Laurentians, north of Montreal.
Gary Sutherland, spokesman for Hydro-Québec, told CBC's Daybreak that crews are now dealing with the worse cases.
In some situations, Sutherland said debris and remnants of the storm needs to be cleared away before crews can start working.
Most people in Laval are expected to have their power restored by the end of today, but Sutherland said some might have to wait until Wednesday.
At the height of the storm, about 560,000 Hydro-Québec customers had lost electricity and that number had fallen to 80,000 by late Sunday afternoon.
Hydro-Québec warns that some customers in areas most severely affected may have to wait until later Tuesday or even Wednesday for repairs to be completed.
The utility says more than 1,000 people, from Hydro-Québec, private firms and NB Power in New Brunswick are working to restore power.
Quebec was particularly hard hit by the storm, which brought winds up to 100 kilometres per hour in some places, uprooted trees and even flipped some cars.Suggest a correction