A status yellow snow and ice warning is in place for the east of the country until 6pm on Tuesday evening.
Met Eireann says there's a very cold week in store, and that temperatures on Wednesday won't get above freezing.
Snow accumulations of 2 to 5 centimetres are forecast for Dublin, Kildare, Louth, Wicklow, Meath and Monaghan.
Dublin City Council says its winter emergency plan is in place.
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Light rain
High: 19°C | Low: 15°C
Light rain
High: 19°C | Low: 15°C
Light rain
High: 20°C | Low: 14°C
Light rain
High: 21°C | Low: 15°C
Light rain
High: 20°C | Low: 15°C