The storm will be responsible for 130km/ph winds which began battering the country this morning.
Carol Holt, the Environment Agency's flood duty manager, said the predicted strong winds could lead to coastal flooding from Tuesday until Thursday. This indicates that flooding is expected, and that "immediate action" is required.
The Status Orange weather warning comes into effect from 4pm this evening and will be in effect until 9pm.
Tonight will be extremely windy and blustery in all areas overnight, with the strongest of the winds early tonight along the east coast and also in Atlantic coastal counties, with a risk of coastal flooding possible.
"We are monitoring the situation and have issued flood alert and warning in coastal areas".
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.
Paul Gundersen, Met Office chief forecaster, said: "The unsettled theme continues throughout this week, with further spells of rain moving across the United Kingdom from the west as many return to work on Tuesday and there will again be some snow over the high ground in Scotland".
A wind warning is in place for Dublin, Galway, Clare, Carlow, Kildare, Laois, Longford, Louth, Wicklow, Offaly, Westmeath, Meath, Limerick and Tipperary.
The Met Office says gusts of up to 80mph could hit the coast on Wednesday, as the tail end of Storm Eleanor sweeps across.