It will remain in place from 4pm on Thursday afternoon until 6pm Friday, December 8.
The only county that has not received a warning is Galway.
Heavy snow is set to hit Leeds and across Yorkshire on Sunday - leading to disruption on roads, rails and even air travel. "Northwest winds will be strong and gusty". "Widespread sharp ground frost with icy patches".
"He said maximum temperatures on Friday will be three or four degrees in Donegal, with some parts of the county seeing temperatures as low as 2 or 3 degrees", he said.
A Met Eireann forecaster revealed: "Southerly winds of 50 to 65 km/h are expected with gusts of 90 to 110km/h along coastal areas on Wednesday". It'll stay cold, but bright.
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"It will be cold for the next 10 days, with temperatures hardly making it up to 10C during the day", said Mr Eagleton.
The warning is in place from 4am on Sunday morning, with forecasters predicting a spell of heavy snow over some parts of the United Kingdom during the day.
Donegal is set for a cold snap with wintry showers, snow and freezing temperatures which will continue into next week.
The Road Safety Authority has cautioned motorists to expect the unexpected with high winds and icy conditions.
Commenting on the research, Deirdre Ashe, Director of Personal Lines at Liberty Insurance, said: "Our research reveals that as a country, we now lack confidence in our driving abilities in adverse weather conditions". High-sided vehicles and motorcyclists are particularly vulnerable to strong winds.