However, there is residual flooding in some areas.
Crossmolina in Co Mayo was one of the towns worst affected by yesterday's flooding.
An estimated €1 million worth of damage was caused when the River Deel burst its banks.
Earlier, gardaí said the main road in the town was passable and a massive clean up operation got under way.
In Cork city, the Carrigrohane road remained closed this morning from Victoria Cross to Inchaggin Lane.
The Lee Road was also closed from the Sunday's Well Road outbound, and parts of the road around Iniscarra were under water.
Gardaí in Bandon said flood waters had receded and all roads were passable.
Limerick County Council advised that there was flooding on the Ennis Road at the junction with Lansdowne Park by Osborne's Pharmacy. Motorists were advised to proceed with caution.
Gardaí in Waterford reported flooding on the Tramore Road this morning but the city was unaffected.
There were also reports of flooding on the quays in Clonmel, Co Tipperary.
At Dublin Airport there were some delays, but the majority of flights were operating as normal.
Irish Ferries said that three sailings out of Dublin at 8.05am, 8.45am, and at 2.30pm were cancelled.
The weekend weather disrupted air travel and knocked out power supplies in places.
