Around 18,000 homes, farms and businesses across the country are without power as a result of Storm Dave.
ESB Networks said its crews are mobilised in impacted areas and responding to power outages where it is safe to do so.
A Status Yellow wind warning is currently in effect across the country until 2am tomorrow.
A Status Orange wind warning for Wexford expired at 9pm.
Met Éireann is warning of possible fallen trees, branches, wave overtopping and very difficult travelling conditions.
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Dublin Airport has said there have been 17 flight cancellations, 13 diversions, and 53 go-arounds due to challenging wind conditions caused by Storm Dave.
A spokesperson said the airport is busy with departures leaving as planned; however, there are some issues with arrivals, but that is expected to ease later with winds gusting up to 80 km/h, due to die down in the next few hours.
Dublin Airport warned that some cancellations could happen tomorrow due to planes and crews being displaced today.
Passengers are advised to contact their airline directly for updates regarding the status of their flight.
A spokesperson for Cork Airport said five flights have been cancelled and there have been four diversions, so far today.
A spokesperson for the Shannon Airport Group confirmed that nine aircraft diverted to Shannon Airport as a result of Storm Dave.
The airport operations teams are supporting diverted aircraft and passengers as weather‑related disruption continues.
The flights diverted to Shannon Airport included flights from London to Cork, Bristol to Dublin, Lanzarote to Dublin, Alicante to Dublin, Barcelona to Dublin, Amsterdam to Cork, Reus Airport to Cork and Palma de Mallorca to Cork.
The spokesperson said that a flight due to arrive from Stansted to Kerry and return to Stansted will operate both legs from Shannon Airport.
Bus transfers are being provided to passengers to their original airport destinations.
Met Éireann said the storm will bring "very strong southerly winds, veering westerly by the evening with severe gusts and coastal gales".
Localised flooding reported in south west and west Donegal
There are reports of localised flooding and rain related issues in Co Donegal in areas including Anagaire, Gaoth Dobhair, Gleann Cholm Cille, An Fál Carrach and Gort an Choirce.
The R230 road between Gleann Cholm Cille and Mín an Aoire is blocked in Bráid due to a landslide.
Motorists are advised not to use the road and to divert through An Charraig.
Donegal County Council said it will endeavour to reopen the road tomorrow.
As a result of the increased level of rain, the public is advised that water pooling caused by storm drains under pressure may take several hours to clear.
A number of road traffic incidents have been reported in the north west.
Motorists are advised to travel with utmost caution, with surface water reported on many routes.
Donegal County Council has urged road users to exercise caution over the next 48 hours.
Motorists are advised to drive at a speed appropriate to weather conditions and be mindful of additional bank holiday weekend traffic.
The UK Met Office issued a Status Yellow wind warning for counties Antrim, Armagh, Down, Fermanagh, Tyrone and Derry.
The alert came into effect at 2pm and will remain in place until 3am tomorrow.
It said the storm will bring a spell of very strong winds into tomorrow morning, which may cause some damage and travel disruption.
The Road Safety Authority said the control of a vehicle may be affected by strong cross winds while high-sided vehicles and motorcyclists are particularly vulnerable to strong winds.
It also said that drivers should allow extra space between themselves and vulnerable road users such as cyclists and motorcyclists as they may be blown off course by strong winds.
"Expect the unexpected," the authority said in a statement.
Storm Dave is the fourth named storm of the season, from a list of 21 names chosen by the Irish, UK and Dutch national weather services.
