Storm Chandra has caused widespread disruption across many parts of country, with strong winds and heavy rain leading to flooding and power outages.
A nationwide Status Yellow wind warning was in place until 11pm.
A Status Yellow rain alert is also in effect for six counties - Carlow, Kilkenny, Louth, Wexford, Wicklow and Waterford - also expired at 11pm.
Counties Dublin, Wexford and Wicklow were among the counties worst impacted by the storm with commuter chaos and homes and businesses flooded.
Bus and rail services were disrupted and motorists endured long delays on the N11, the M50 and roads in Dublin.
Enniscorthy in Co Wexford was one of a number of areas in the southeast that was hit by heavy flooding, causing homes to be evacuated and businesses forced to close.
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The Taoiseach has said that the Government will provide immediate payments and supports to households and businesses affected by flooding caused by Storm Chandra.
Speaking in the Dáil, Micheál Martin said the Department of Enterprise, Tourism and Employment will activate the business and community support scheme.
Responding to a question from Labour Party leader Ivana Bacik, the Taoiseach said that while flooding impacts are across the country, counties Dublin, Wicklow, Wexford and Cork were significantly impacted.
"Bunclody and Enniscorthy in particular have experienced severe flooding to homes and businesses," Mr Martin said.
He said that local authority teams were on the ground assisting.
"The Department of Social Protection will assist on the ground with households affected by flooding, and provide immediate needs payments and other supports where required," he said.
"The Department of Enterprise, Tourism and Employment will activate the business and community support scheme."
The Department of Social Protection has said that the Emergency Response Payment is available for people living in properties impacted by the storm in Dublin.
In a statement, the department said that the payment is available "as a support for households which experience unanticipated and exceptional costs in the immediate aftermath of an extreme weather event".
Watch: Government to provide payments, supports to those affected by storm
Motorists rescued amid flooding in Dublin
In Dublin, a number of motorists had to be rescued from floodwaters.
Senior forecaster Gerry Murphy said that 30mm of rain fell overnight in Dublin and the heaviest rain today was across Leinster, Connacht and Ulster.
There were multiple reports of localised flooding and road closures around Dublin and north Wicklow, with the M50 closed for a period of time at Junction 13 at Dundrum.
Director of Communications with Transport Infrastructure Ireland, Seán O'Neill, said that crews were to remain on-site at the M50 this evening to deal with any issues that may arise.
The M11 at Kilmacanogue northbound was also flooded, with traffic down to one lane and tailbacks as far as Newtownmountkennedy.
Dublin Fire Brigade said crews worked in a number of locations and that four people were rescued from floodwaters on Dodder Park Road and motorists were also rescued from floodwaters in Kilmacud and Rathfarnham.
Storm Chandra is the third named storm of the year and is named after the Hindu god of the moon.
ESB Networks has said at as of 5.15pm this evening, around 2,500 homes, farms and businesses are without power.
The majority of those affected are in the east of the country. Repair works are due to continue this evening and tonight.
ESB Networks has said power will be restored to the vast majority of customers by tonight, however, some could be without supply overnight.
Around 20,000 customers were without power earlier today.
Meanwhile, Iarnród Éireann said there were major disruptions to DART and commuter services with reports of flooding at several locations.
A number of ferry sailings were cancelled, with Irish Ferries and Stena Line both reporting cancellations between Dublin and Holyhead.
Strong winds impacting flights at Dublin Airport
Dublin Airport has said that strong winds associated with Storm Chandra had an impact on flight operations.
"As of 3pm, around 20 flights have been cancelled by airlines. With winds set to remain strong over the remainder of the day - both at Dublin Airport and other airports around Ireland, Europe and the UK - further disruption to flight schedules is possible."
Dublin Airport said passengers due to fly should contact their airline for updates about the status of their flight.
Storm Chandra:
Watch: Drone footage shows scale of Enniscorthy flooding
'Petrifying' - family with newborn rescued after Enniscorthy flooding
'Everything is destroyed,' says mother after home flooded
An Amber wind warning was in place for Antrim, Derry and Down until 9pm, with the remaining counties in Northern Ireland under a Yellow level warning until midnight.
