NIE Networks says power has been restored to nearly all of its customers following Storm Darragh.
It said 15 customers still require more complex repairs but that “generators have been provided to ensure they have electricity until permanent fixes are completed”.
About 95,000 homes in Northern Ireland were without power at the height of the storm over the weekend due to the strong winds.
Several community assistance centres opened on Monday to help those still without power.
In the Republic of Ireland, about 15,000 homes, farms and businesses remain without electricity on Tuesday morning.
NIE Networks said that after power restoration efforts in Northern Ireland, it was able to “provide assistance to colleagues in ESB Networks by sending approximately 60 staff to help” with repairs.
“The energy network in the UK and Ireland have mutual arrangements in place to provide assistance in such incidents,” a spokesperson added.
“We understand the importance of mutual aid and are keen to help when possible.”
A team of 60 technicians from French power provider Enedis has also arrived in the Republic of Ireland to assist in the repair of power outages following Storm Darragh.
ESB Networks Regional Manager Brian Tapley told Irish broadcaster RTÉ that most of its affected customers will have power restored on Tuesday, but some will be without electricity for the rest of the week.
Mr Tapley said that a lot of the customers who remain without power are in more remote areas, but not all.
Stena Line and Irish Ferries cancelled several ferry crossings between Dublin and Holyhead on Monday and Tuesday.
A spokesperson for Holyhead port said that on Saturday morning during Storm Darragh, “an incident occurred at Holyhead Port causing damage to port infrastructure”.
“As a result, Holyhead Port is currently closed to marine traffic and, at this time, it is expected that the port will remain closed until 18:00 Tuesday at the earliest, while a thorough assessment is conducted,” the spokesperson added.