It reminded people to treat all lines as live, as power could be restored at any time.
Orion general manager Steve MacDonald said he expected all the properties to be reconnected by the end of the day.
Once all customers in its area had supply back, Orion would send staff to help restore the North Canterbury network, he said.
MacDonald said almost all the outages had resulted from trees falling on powerlines. If people came across downed power lines they should assume they were live, he said.
Gusts of between 150 and 200km/h were recorded on Saturday in exposed areas, lifting roofs, toppling trees and bringing down power lines, as an active trough moves east across the country on Sunday.
MetService has issued another round of heavy rain and strong wind watches for several parts of the country, including a strong wind watch to 1am Tuesday for the Canterbury High Country.