Met Éireann has a issued a Status Yellow rain warning for counties Cork, Waterford, Wexford, Carlow, Kilkenny and Wicklow as the effect of Storm Evert is expected to be felt along south and south-east coasts.
The forecaster has warned of heavy or thundery rain with the risk of spot flooding.
The warning is valid until 5am tomorrow.
A number of marine warnings have also been issued.
A spokesperson for Met Éireann said the storm, which is expected to stay offshore, would track to the south of Ireland tonight bringing unseasonably wet and windy weather.
They said it would bring unseasonable winds offshore, with the possibility of it becoming breezy and wet on south and south-east coasts.
Storm Evert, named by the UK Met Office, is expected to make landfall in the UK this evening where its effects are more likely to be felt.
It is due to bring strong winds with gusts of up to 120km/h in exposed coastal areas early tomorrow morning.
Amber and yellow warnings have been issued for southern parts of England and Wales.