Met Éireann says a wind warning will be in place for Munster and Wexford, with gusts of up to 110 km per hour can be expected at times, but could be higher in coastal areas.
The alert is valid from 6am until 7pm on Tuesday.
Meanwhile a rain warning for Connacht, Donegal, Cork, Kerry and Waterford could see 50mm of rain fall between midnight tomorrow and midnight on Tuesday.
Alan O'Reilly from Carlow Weather says conditions will be poor from tomorrow evening.
"A storm is going to track across Ireland late tomorrow night and into Tuesday bringing some very strong winds again, possibly up to 120 or 130 km per hour on the south coast.
"There will be strong winds right across the country, along with heavy, thundery downpours, with a risk of flooding once again."