ESB Networks staff have re-connected thousands of homes to the grid today.
More than 2,500 homes in Dunfanaghy and Creeslough have had power restored.
However a number of outages are still being worked on.
They are as follows:
Glenties – 64 customers – due back on at 6pm
Dungloe – 15 customers – due back on by 6pm
Aranmore Island – 171 customers – due back on by 6.30pm
Burtonport area – 315 customers – due back on by 6pm
Magheraroarty – 117 – due back on around 3pm
Creeslough area – 39 customers – due back on at 5.45pm
Milford area – 11 customers – due back on at 6pm
Cullion area – 13 customers – due back on at 6pm
Buncrana/Cockhill – 33 customers – due back on at 6pm
If you know someone affected by the above outages, you should try to let them know by text or phone if possible.