The Met Office warned of possible disruption including delays on roads, stranded vehicles and cancelled rail and air travel. Winds of up to 60mph are forecast inland - and 70mph along the coast.
Winds will ease on Sunday and showers are expected to die away and it is expected to be cold and bright with, but still some scattered wintry showers mostly in the north and west. Temperatures will just reach just 4 to 7 degrees.
The Met Office has issued a weather warning for Sussex as snow is expected to affect the county later this week.
The yellow weather warning for snow is in force between 9pm on Tuesday, January 29, and 12noon on Wednesday January 30.
She said Monday would also be cold and showers pushing in from the Atlantic would turn wintery as it meets the cold weather on Monday night.
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Met Office forecaster Ellie Creed said there was likely to be a "widespread" frost and possible ice forming overnight into Monday morning. It will be a cold day with sunny spells and just a few showers, but these may turn wintry over higher ground.
The weather forecast from Met Eireann for Thursday says that a spell of rain, sleet and snow will gradually clear northward to scattered wintry showers.
There is a slight warning that some rural communities could become cut off and a small chance that power cuts will occur in some of the area that may become effected. It's set to be cold, with lowest temperatures of 1 to 4 degrees.
Wednesday night is set to be colder again with lowest temperatures falling to -1 to -5 degrees with a severe frost.