Accumulations of 10cm (4in) of snow are expected widely in the warning areas, while 15-20cm (6in-8in) is possible in the worst-hit areas.
A Status Yellow wind warning is in place for Clare, Cork, Kerry, Limerick and Waterford, while a Status Yellow low temperature alert is in place across the country until 10am on Saturday morning.
"Rural communities with limited access routes could become cut off".
In the latest RTÉ weather bulletin the forecaster said an area stretching from Mayo south west to Wexford would see the heaviest falls.
Met Office chief meteorologist Dan Suri said; "It's going to be a cold weekend for everybody with some hard frost at night".
Highways England advised road users intending to travel through the West Midlands and the northwest of England to check the forecast and road conditions before they travel, with the threat of disruption throughout the weekend.
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About 8cm of snow fell in Aviemore in the Scottish Highlands today.
Heavy snow forecastElla, an Irish Doodle, a cross between an Irish red setter and a poodle, plays in the snow at Stormont on December 8, 2017 in Belfast, Northern Ireland.
Southern parts of England and Wales could face heavy rain and gale force winds of up to 70mph (112km/h), the Met Office said, with icy surfaces likely to be an "additional hazard".
Approximately four inches of snow will fall within a three hour spell, known as a snow bomb, causing the most significant amount of chaos for years.
"Road, rail and air travel delays are likely, as well as stranding of vehicles and public transport cancellations".
Hundreds of properties have lost power in Scotland and the West Midlands and police are warning of road collisions.