Over 1,200 homes are without power in the Pollerton area of Carlow town this morning following last night's strong winds.
Power is not expected to be restored in the area until 3pm today.
Elsewhere, people are experiencing power outages in Rosbercon, Piltown and McDonagh in Co. Kilkenny, and Kilcloher in Co. Waterford.
The ESB says up to 6,000 homes are without power nationwide.
Wet and windy conditions overnight with heavy rain have led to some localised spot flooding and fallen trees.
AA Ireland has warned drivers to expect debris on the roads and to keep further back from the vehicle in front.