Thundery showers are forecast on Monday afternoon and evening in 13 counties, with hail and heavy downpours bringing the risk of spot flooding, Met Éireann has said.
It has issued a status yellow thunderstorm warning for counties Carlow, Cavan, Donegal, Kildare, Kilkenny, Laois, Longford, Louth, Meath, Monaghan, Offaly, Tipperary and Westmeath.
The warning is in place from 2pm until 8pm on Monday.
On Monday night, showers will move into western parts of Munster towards the morning, with minimum temperatures of 3°C to 7°C.
Tuesday will start dry, but Met Éireann has said showers in west Munster will spread further inland during the morning and afternoon.
These showers are forecast to turn heavy and thundery again, with a risk of hail and spot flooding.
Met Éireann has said that low pressure will dominate the weather this week, bringing some heavy thundery showers in places, but sunny spells at times too.
Temperatures will trend generally near or slightly below average.