"We have had over 300 engineers working in the Wigtownshire and Barrhill areas today.
"We have also contacted customers throughout the day and offered hotel accommodation for anyone who was due to remain off supply into this evening.
“We would again like to thank customers for the patience they have shown, and apologise for the inconvenience caused. Our engineers have encountered some of the most difficult conditions they have ever faced attempting to restore supplies.
"We would also like to thank staff at Dumfries and Galloway Council and Transport Scotland for the support they have provided.”
Scottish Power say there are still around 250 properties without electricity in southern Scotland. 50 of those have been without power since Friday.
When the bad weather first hit on Friday there were around 10,000 homes without power across Dumfries and Galloway.
Engineers have been out working all weekend, but gale force winds have hampered their efforts of as they try to restore power to remote houses.
13 schools in Dumfries and Galloway are closed today, but all are due to reopen tomorrow.
Cumbria police say that power has been restored to the 1,700 homes that were affected there. They are now working to reopen the roads that have been closed since Friday and are asking anyone forced to abandon their car on the A595 at the weekend to contact them by phoning 101.