South to Southeast winds of between 50 to 65 km/hr have been forecast, with more violent gusts of between 90 to 110 km/hr likely in coastal areas.
The weather warning which has has been put in place for Wexford, Cork and Waterford will remain in place until 2pm tomorrow.
Outbreaks of rain are expected tomorrow morning, with brighter conditions expected for the afternoon.
There is also a risk of coastal flooding around the periods of high tides.
Elsewhere in the country, wind warnings have also been issued coming into effect at different times.
The anticipated strong winds come just after Storm Brendan, which hit the country on Monday.
In Cork, the weather conditions brought localised flooding, some slight structural damage to some buildings and transport delays and diversions.
Hundreds of homes were also temporarily left without power.