There is a risk of flooding, as persistent or heavy rain falls in many areas, according to Met Éireann.
Drier intervals in the east for a period this afternoon, although the heaviest falls of rain will be in west Munster and over the northern half of the country.
Temperatures will range from 10 to 14 degrees, dropping between 3 to 7 degrees tonight.
Rain will continue in many parts this evening and tonight with drier weather in the west and south-west; this will gradually extend eastwards. Showers will continue overnight in Leinster and Ulster, with mist and fog to develop in many areas.
Tuesday – The national forecaster said that mist, fog and any lingering rain in the east and north-east will gradually clear.
Rain will develop in the early afternoon in the west and spread eastwards to all areas with highs of 11 to 15 degrees.
Showers will clear eastwards overnight with scattered showers set to move into the west lows of 5 to 8 degrees.
Wednesday – Many areas will remain dry for the day with sunny spells; showers will impact Atlantic coastal counties – some of which will move further inland as the day progresses.
Met Éireann has warned that heavy showers will push into western and southern counties overnight with lots of 6 to 9 degrees.
Thursday and Friday – Some thundery downpours are expected with bluster south-west winds along the Atlantic coastline.
The best of the dry and bright weather will occur across the eastern half of the country.