A status yellow wind warning is in place for Cork, Kerry, Wexford and Waterford until later this afternoon.
Gusts of up to 100 kilometres per hour are expected.
It runs alongside a yellow rainfall warning across the South-East.
The nationwide alert came into effect overnight with persistent and heavy bands of rain expected across the country.
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Some flash flooding is possible - particularly on higher ground.
Met Eireann say the wind alert will run until 3pm, with the rainfall warning continuing until 7pm this evening.