Further rain falls of between 25mm and 50mm are predicted, with Connacht and Munster most likely to be affected.
Meanwhile Gardaí in Cork said that traffic is now back to normal, after delays had been caused by heavy surface flooding in the city (photo). A number of road closures were put in place across the city and there were various cases of flooding also in Co. Cork.
Continuing heavy rain has also left thousands of acres of farmland in the West of Ireland flooded.
The Irish Farmers' Association (IFA) says that this year's barley harvest is particularly at risk, but dairy farmers are also running out of pasture land, much of which is now under water.
An IFA spokesman said that farmers in East Galway and in the Shannon basin are among the worst affected, while there is also flooding in the Oranmore and Headford area of the county.