Update 1.44pm: Homes and businesses affected by power outages should have their supply restored this afternoon.
Fewer than 3,000 customers are now without electricity across the country.
The outages are mainly caused by fallen trees hitting power lines in strong winds last night.
The main areas affected are in the north-west, west and south-west.
Update 8.37am: The ESB is working to restore power to 6,000 homes and businesses impacted by strong winds last night.
Most of the power cuts were in the west and northwest, while ESB networks say there is a large fault in the Rathdrum Area of Co Wicklow.
— ESB Networks (@ESBNetworks) January 27, 2019
Fallen trees blocked roads, particularly in western coastal counties, during the stormy weather, according to the AA.
Counties Donegal, Clare, Galway and Sligo all saw trees downed in the strong winds.