Met Éireann has issued a weather warning for the north and northwest.
Gale force winds with gusts of 90 to 110kmh in coastal counties of Connacht and Ulster and up to 120kmh on west Munster coasts are forecast.
It will stay cold overnight with temperatures falling to -1C with showers of hail or sleet likely in parts of the north and northwest.
Conditions have improved across the country after icy roads in many places this morning.
Poor road conditions were reported in parts of counties Clare, Tipperary, Kildare, Kilkenny, Laois, Longford, Carlow, Louth, Westmeath, Offaly, Wicklow and Cork.
Gardaí dealt with collisions in a number of places and there were also reports of jack-knifed trucks.
Roads conditions were very poor around parts of the northeast.