ESB Networks says around 850 homes and businesses remain without power following last night’s storm.
Storm Callum passed over the country overnight bringing with it gusts in excess of 110km/h.
An ESB Networks spokesperson said it is hoped the numbers without electricity will fall below 500 before the end of the day.
All of the affected areas are on the western seaboard, in parts of Kerry, Clare, Mayo and Donegal.
At the height of the storm, around 60,000 customers had experienced disruption to their power supply.
High tide passed in Galway city without any major incident after fears that a 5.2 metre tide, combined with strong onshore winds, could lead to flooding.
But a temporary "aquadam" along the banks of the Corrib contained the river, with just some spot flooding close to the Spanish Arch.
Home and business owners in Galway say the frequency of storms over the winter months means Galway City Council must progress with plans for more permanent flood defences as soon as possible.
A lot of the fallen trees around the country have been cleared away so most routes are clear.
Part of the promenade wall in Tramore, Co Waterford, was damaged and the prom was closed for a time earlier today.
A section of the storm wall on the prom at Tramore was broken in pieces by storm Callum last night— Damien Tiernan (@damienrte) October 12, 2018
(Pic by Tina Schley) pic.twitter.com/WB1FcMO1pj
There was some disruption to rail services this morning but all are now operating, including the DART, although there may be some delays.
A number of Aer Lingus flights from Dublin were cancelled this morning and there are ferry cancellations on Irish Sea crossings.
This afternoon's Irish Ferries sailing from Dublin to Cherbourg has been put back until tomorrow.
In Northern Ireland, around 900 homes and businesses in Lisburn, Co Antrim, were hit by power outages due to high winds and electricity supplies were also disrupted in counties Armagh and Fermanagh.
A number of early morning flights from George Best Belfast City Airport were cancelled.
Ferry services to islands off the coast of Donegal have been disrupted. There have been no services to Árain Mhór but the situation will be reviewed this afternoon.
Ferry services to Tóraigh were cancelled for the day.