Met Éireann has issued two separate status yellow weather warnings for various parts of the country.
A snow-ice warning has been issued for Ireland. Met Éireann has said there is a risk of sleet and snow and icy conditions gradually clearing northeastwards by tomorrow morning.
The warning is valid from 4pm this afternoon until 10am tomorrow.
Met Éireann has also issued a status yellow wind warning for Donegal, Galway, north Leitrim, Mayo, Sligo, Clare, Cork, Kerry and Limerick.
It said southwest winds gradually veering westerly will reach average speeds of between 50-65km/h, with gusts of up to 110km/h.
Winds will become strong in the southwest at first and extend northwards later in the night and tomorrow morning.
That warning is valid from 11pm tonight until 2pm tomorrow.
The Road Safety Authority has urged motorists to drive with care.
Hill walkers and climbers are being asked to exercise extreme caution during the cold snap.