The capital Nuuk and a suburb were left without power early on Saturday afternoon.
Shortly after 5 am on Sunday morning, Nukissiorfiit announced that two-thirds of Nuuk had regained power. However, citizens who got their power back were urged to conserve their electricity usage. That warning has now been lifted.
According to the energy company, a fault was found on a power line from a wind turbine in Buksefjorden to Nuuk. The cause of the power outage is still being investigated.
The police's landline phones were knocked out during the power outage, and the public service company KNR's broadcasts were down. Extra police patrols were sent out in Nuuk, the suburb Qinngorput, and the village Nuussuaq. Nuuk's hospital was forced to use backup generators.
Around 56,500 people live on Greenland.