Met Éireann says scattered snow showers will occur from late Thursday and into Friday.
The warning has been issued as Storm Caroline makes its way toward Irish shores.
There will be icy stretches too, and while north and northwest counties will be most at risk, areas of higher ground elsewhere are also at particular risk.
"Any sudden change in weather conditions, be it snow, ice or heavy rainfall can have a serious impact on traffic across affected areas".More news: Mariners and Angels add $1M apiece from Twins to pursue Shohei Ohtani
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Wind map for 3am on Thursday.
Meanwhile, a wind warning has been issued for Donegal on Thursday.
Temperatures are expected to drop from Thursday afternoon, with the cold spell persisting into the weekend, resulting in a risk of hail and snow particularly in western and northern areas.
If you live in the west of the country, Met Éireann are encouraging you to exercise caution ahead of an Atlantic storm dubbed Storm Caroline by the UK Met Office.
Severe winds will affect areas over Scotland, but Met Eireann warned that the storm will also generate strong, blustery winds of Ireland.