There is set to be four seasons in one day across the Province on Monday, with particularly harsh weather set to hit Londonderry.
Met Office meteorologist Chris Page said after average temperatures of eight or nine degrees Celsius with strong winds on Sunday temperatures would drop to 0 or -1 degrees Celsius overnight.
The Met Office has issued a yellow ice and snow warning.
The UK’s national forecaster has predicted frequent sleet, snow and hail showers for the region through Monday and well into Tuesday.
It said snowfall of between 1-3 cms was possible on low ground, with strong winds also forecast.
Mr Page said: “Monday will bring wintry showers of sleet, snow and rain and wind. There is also the chance of thunder in some areas.
“The wind will be strongest around the west and north west of Northern Ireland.
“Around the south east of Northern Ireland the wintry showers turn to rain – but there is also the risk of wintry precipitation.
“At the moment I see the highest risk of wintry showers in the Londonderry and Newtownstewart areas of Northern Ireland.
“The showers will remain blustery, mixed with sunny spells and strong winds.”
He said on Tuesday wintry showers “will merge to form longer spells of wintry showers”.
However, the weather is to change in the afternoon, according to the Met Office forecaster, “when you will see the winds start to ease slightly”.