Snow has already reached Belfast - and promises to spread even further afield, according to the Met Office.
Chief Meteorologist Paul Gundersen told the Met Office website: "As the moist air from a weather system bringing storms to France clashes with the cold air sitting over the United Kingdom, it brings the chance of wintry showers and snow disruption to most parts".
The warning is valid from Tuesday, 29 January at 6am and will remain in effect until Saturday, 2 February at 6pm.
Snow showers have been forecast for early next week.
Winter showers will feed in from Tuesday and Wednesday mainly in the west and north.
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"A patchy covering of 1 to 2cm is possible at low levels, although some places will see no snow at all".
For the meantime, we're expecting around a centimetre of snow to settle at low levels, probably not lasting for too long. The east and south will stay largely dry but showers will affect the west, north and central areas and they will turn increasingly wintry overnight. Rain will become widespread in the morning, turning heavy and persistent in places, but becoming more showery in the afternoon, with a few bright or short sunny spells. "Southwesterly winds will be mostly light to moderate".
Showery rain, sleet and snow will clear eastwards into the Irish Sea on Tuesday morning leaving a cold day with sunshine and wintry showers. Top temperatures will be around 3 to 7 degrees and fresh west to northwest winds will ease.
The warning is because of "snow, possibly heavy at times", which is reportedly likely to develop overnight on Tuesday, going into Wednesday.
The prevailing weather front across most of the United Kingdom at the minute is from the Arctic, bringing some snow, sleet and icy winds at some speed.