It originally issued a yellow warning, but has now upgraded it to amber.
The warning was upgraded to Storm Status on Monday evening, January 1.
As Storm Eleanor heads towards Ireland today Met Eireann have issued two weather warnings of lashing rain, high seas and winds of up to 130kmph.
Met Éireann predicted counties such as Dublin, Carlow, Kildare, Laois, Longford, Louth, Wicklow, Offaly, Westmeath, Meath, South Galway, Clare, Limerick and Tipperary would be especially affected by the storm, which has been named Eleanor.
"Southwest to west winds of mean speeds 65 to 80 kmph, gusting to 110 to 130 kmph, are expected".
The Met Office has warned of "very strong winds" arriving this evening and continuing overnight.
Leading bookmaker Coral made it 6-4 (from 2-1) for this month to end as the coldest January on record in the United Kingdom after a cold start to the new Year.
Strogest winds are likely to be concentrated in the east around dawn on Wednesday as the tail of Eleanor sweeps across the country.
The warning is in place from 4 o'clock this afternoon, until 9 o'clock tonight.
She added: "The strong winds coincide with high tides in some western areas which could lead to large waves which could have some impact as well".
The arrival of Arctic winds before the weekend could see temperatures drop below freezing on Saturday.