Some households will be without electricity into next week, according to the ESB.
105,000 homes in the south of the country are still without power since storm Ophelia on Monday.
All homes and businesses in Cavan and Monaghan have been reconnected to the electricity supply.
25,000 people have no water supply across the country.
Senan Colleran from ESB Networks says the smaller faults can be harder to fix:
A yellow warning for heavy rain has been issued for much of the country tonight and tomorrow.
It applies to Munster, and Dublin, Carlow, Kildare, Kilkenny, Louth, Wexford, Wicklow and Meath.
Liz Walsh is a forecaster with Met Eireann: