The ESB has estimated that just under 1,000 customers will be without power for a second night following Storm Eunice.
ESB repair crews were working through the night to restore power to more than 70,000 customers.
They estimate there could be up to 1,000 homes in isolated areas that will not have power restored until tomorrow.
A status yellow rainfall warning is in effect for counties Cavan, Donegal, Leitrim, Mayo and Sligo until 6 o'clock tomorrow evening.
Met Éireann is warning of persistent rain and heavy showers, which will lead to localised flooding in some places.
The UK Met Office has also issued a status yellow wind warning for Northern Ireland from midday tomorrow until midday on Monday.
A council worker in his late 50s was killed by a falling tree yesterday while out working to clear debris caused by Storm Eunice.
The incident happened in the Ballythomas area, close to the Wexford-Wicklow border.
The man was named as Billy Kinsella, a 59-year-old married father-of-one who lived at Ballythomas Hill, not far from the scene of the incident.
Wexford County Council, where he worked, has expressed condolences to his family.
A number of sporting fixtures have fallen foul to the inclement weather, with the meeting of Sligo Rovers and Bohemians on the opening weekend of the SSE Airtricity Premier Division postponed, as well as the First Division clash of Longford Town and Cobh Ramblers.
The meeting of Fermanagh and Laois in Division 3 of the Allianz Football League has also been postponed due to a waterlogged pitch in Enniskillen, while tomorrow's meeting of Leitrim and London in Division 4 has been moved to the Connacht GAA Centre at Bekan.
Three people died in Britain during Storm Eunice, including a woman in her 30s who was killed when a tree fell on a car in north London.
A man in his 50s died in Merseyside, after debris struck the windscreen of a vehicle he was travelling in.
Another man in his 20s was killed in Hampshire, after a Mercedes-Benz Sprinter pick-up collided with a tree.
Two people were killed by falling trees as Storm Eunice hit the Netherlands yesterday, Dutch emergency services said.
In Belgium, high winds brought a crane down onto the roof of a hospital and a British man died after being blown from his boat into the water.
We need your consent to load this rte-player contentWe use rte-player to manage extra content that can set cookies on your device and collect data about your activity. Please review their details and accept them to load the content.Manage Preferences
