Around 8,000 homes, farms and businesses across the country remain without power after their supplies were cut off during Storm Bram.
ESB Networks said that repair crews will recommence work at first light this morning.
In a statement, it said it is assessing the damage to the electricity network and will provide updates on estimated restoration times as soon as crews have evaluated impacted areas.
The electricity utility called on the public to report any damage to electricity infrastructure and issued a warning to never touch or approach fallen wires.
A spokesperson for the operators of Dublin Airport said that the storm had a significant impact on the airport's operations, with more than 100 flights cancelled by airlines yesterday.
Graeme McQueen said that while Dublin Airport is expected to be fully open today, there is potential for some disruption.
Iarnród Éireann said that a full schedule of train services will operate on all routes today.
A number of ferry sailings to and from Ireland today have been rescheduled or delayed in the aftermath of Storm Bram.
Irish Ferries said passengers are advised to contact their service provider.
Throughout yesterday, there were some incidents of flooding and fallen trees, particularly in the south of the country, where the storm first made landfall.
54,000 homes and businesses were without power as Status Orange wind warnings were in effect nationwide, with winds reaching 113km/h at Roches Point in Cork.
Blustery showers and isolated thunderstorms are forecast for the north of the country today, with conditions otherwise mostly dry with sunny spells.
Met Éireann has warned of a continuation of unsettled weather for the rest of the week and into next week due to what it calls a "mobile Atlantic flow".
Read more:
Storm Bram brings power cuts, flooding and travel chaos
As it happened: Storm Bram
