The alert will come in to effect at 6am on Tuesday.
Met Eireann has issued a snow and ice warning for the entire country.
The status yellow alert will come in to effect at 6 o'clock tomorrow morning, and will remain valid until 9am on Wednesday.
These will become increasingly widespread over the course of tomorrow, with some accumulations of snow also expected.
Offaly forecaster Cathal Nolan from Ireland's Weather Channel predicting wintry showers, mainly of hail and sleet:
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