Storm Gareth has brought heavy rain and damaging gusts to parts of the country.
A Status Orange wind warning for Donegal, Galway, Leitrim, Mayo and Sligo is in effect until 9am tomorrow.
Met Éireann says westerly winds will reach mean speeds of 80km/h with damaging gusts of up to 130km/h.
There is also the risk of coastal flooding due to high seas.
A Status Yellow warning for the rest of the country is in effect until 12pm tomorrow with gusts of up to 110km/h possible.
ESB Networks says that a number of power cuts have been reported in the northwest, but there are no major outages.
Crews are ready to begin work at first light to restore supply to those affected.
A number of trees have fallen in Sligo, Letrim and Donegal but no major incidents have been reported by county councils.
Gusts reached around 130kph at Malin Head in Co Donegal.
The storm, caused by a deep area of low pressure, is the third named storm this year after Storm Erik in February and Freya earlier this month.
Continuing stormy this evening and tonight, with further severe or damaging gusts. Sustained strong to gale force and gusty west to northwest winds will persist. Scattered squally showers continuing too, some of hail and thunder. Lowest temperatures of 3 to 6 degrees Celsius. pic.twitter.com/jwK2E8gRgS— Met Éireann (@MetEireann) March 12, 2019
P&O Ferries cancelled two sailings from Liverpool and Dublin tonight due to weather conditions.
Earlier, ferry services to Donegal's off shore islands were cancelled.
The last ferry to Arainn Mhór left Burtonport at 12:45pm and no ferries operated between the mainland and Toraigh.
Flights into and out of Donegal Airport at Carrickfinn were also cancelled today as has tomorrow morning's flight to Dublin which was scheduled to leave at 7.55am.
In the UK, a Met Office yellow warning of rain for parts of northern England will remain in place until midday tomorrow.
Forecasters said that 50-60mm of rain was possible over higher ground in Cumbria.