Electricity supply has been restored to nearly all homes after gale-force winds and hurricane-strength gusts cut power for many.
Some of the areas left without electricity included Drogheda, Ennis, Limerick, Longford, Monaghan, Tipperary and Waterford.
Owen Sherlock of Met Éireann said winds reached speeds of up to 130km/h, which brought down power lines and trees.
Gardaí have warned motorists of dangerous driving conditions in many areas.
There are reports of debris and fallen trees in many parts of the country including; Dublin, Meath, Laois, Kilkenny, Cavan and Galway.
Met Éireann has said that while winds have eased, those travelling home for Christmas should take extra time for their journeys.
Elsewhere, high winds have disrupted road travel in Northern Ireland and fallen trees have blocked roads in Armagh and Down.
Power NI said the electricity network has coped well with the weather.
Severe flooding caused by heavy rain is disrupting plans for people travelling to southwest England and Wales.
Some rail services have been suspended and there is a severe flood warning in Cornwall.
With more rain fall forecast, there are more than 500 flood warnings and alerts in England and Wales and about 30 in Scotland.