Engineers are still working to get electricity back on for around 3,000 Wiltshire properties following Friday's storm.
As a result of fierce winds, which were as strong as 100mph at times, and heavy rainfall around 10,000 Wiltshire properties were initially without electricity.
Householders in Chippenham, Devizes and Melksham were affected but Southern Electric Power Distribution has restored their power.
Some residents in Swindon and Salisbury still don't have electricity.
A Southern Electric spokesperson said: "Engineers worked throughout the night on Saturday restoring power to customers.
"Our teams will continue repairing damage and restoring power to those affected throughout the course of today."
The company had around 1,000 staff working to help those affected. They also brought in additional call centre staff.
After Friday's storms 170,000 properties in the south of England lost electricity. Southern Electric has restored power to 160,000 of those.
Anyone affected can call Southern Electric on 0800 072 7282.