Met Eireann has issued a Status Yellow "snow-ice" warning for a number of counties this afternoon, including Kilkenny.
The Met Office warned that the freezing weather was likely to cause delays and cancelations to rail and air travel, long tailbacks and stranding on the roads, and possible power cuts.
The AA said it had received more than 1,687 breakdown calls before 10am on Friday, with 10 cases of vehicles being stuck in snow.
Heavy snow also caused disruption on the roads.
The Met Office warning predicts accumulations of up to 10cm (4ins) are likely and up to 15cm (6ins) could fall over higher ground.
"It looks like it is going to be a very chilly end to the year and as a result we have slashed the odds on this month ending as the coldest December on record in the United Kingdom, while we are not ruling out snow in the majority of the country before the end of the week", a spokesperson for the bookmaker said.
Arctic air hovering over the United Kingdom were expected to bring temperatures as low as -13C in Scotland overnight, and an amber weather warning was in place for heavy snow in the east Midlands, north-west England and Yorkshire on Friday morning.
The yellow warning for snow runs from 3am until 3pm on Friday and the amber warning runs from 4am until 11am.
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From tonight, forecasters expect conditions to get even colder with temperatures plummeting as low as -15C in some regions of Scotland.
"Potent, heavy showers with a chance of hail and thunder", are forecast across the country from South Wales to Greater London, the Met Office has said.
"The coldest temperature we have seen this year is -13C in Scotland, and we are likely to see temperatures slightly below that", she added.
Highways England issued a severe weather warning.
The RAC said it saw a 15-20% spike in call-outs on Wednesday compared with the same time past year.
The RAC warned drivers to be prepared with a winter breakdown kit.
"This is most likely on Sunday morning with some very heavy rain possible for a time".