About 2,220 homes were left without power in Oxfordshire after Storm Barney hit the county.
The outage affected 1,300 properties in Fyfield, near Burford, 700 in Witney, and 220 in Chipping Norton.
Extra engineers had been standing by ahead of the storm, a Scottish and Southern Electric Power Distribution spokesman said.
By 22:00 GMT work continued to restore power to 488 homes in Fyfield, 400 in Witney and 50 in Chipping Norton.
The power firm spokesman apologised to customers for the problems and said they would be dealt with as soon as possible.
In Middle Way, Oxford, firefighters were also called out after strong winds blew loose part of a house's roof.
Storm Barney, the UK's second named storm, affected parts of Wales and southern England with gusts in excess of 80mph.