A Met office spokesman said: "Strong northwesterly winds are expected during Tuesday night and Wednesday with possible transport disruption". There will also be very large waves in coastal areas.
A Status Orange wind warning was issued by the national meteorological office this morning at 11:00am for counties Donegal, Leitrim, Mayo and Sligo.
Met Eireann state "It will be unsettled through much of this week, with a spell of potentially disruptive winds later tomorrow, Tuesday, into Wednesday, especially in the northwest".
According to the status yellow warning, winds will reach mean speeds of 50 to 65km/h and gusts of 90 to 110km.
The second is for wind affecting Northern Ireland from 3pm on Tuesday to 12pm on Wednesday (March 13).
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Gusts of up to 75mph were recorded in Scotland on Tuesday night, while winds of over 60mph were seen widely across western parts of the United Kingdom in the early hours of Wednesday.
Going into the afternoon, the nation will continue to hit by a wave of strong wind.
Parts of east and south coast of England and Wales will see some minor patches of Sun but for the rest of the country, it will be a cold and windy day.
"Eastern areas might start getting some very strong winds by that point, but generally across much of the United Kingdom, it's going to be very windy this morning". Lowest temperatures 2 to 5 degrees.
A yellow weather warning for rain is also in place in parts of northern England on Thursday and Friday.