There are severe weather warnings in place across most of the country, with Met Éireann forecasting at least another three days of sub zero temperatures.
Drivers are being advised to take extra care on all routes but especially on secondary roads which may not have been gritted.
The unexpectedly long cold snap is also draining supplies of grit with several local authorities in the Midlands and in Dublin running low.
The National Roads Authority says the N5 Charlestown, N6 Loughrea, N8 Mitchelstown, N13 between Brigend and Burt in Donegal, and the N81 Baltinglass are all icy.
The Sally Gap in Wicklow is still closed, and secondary roads and housing estates in most of Dublin are described as treacherous.
In the South, Thurles has been badly affected with gardaí are warning of severe black ice in many places.
AA Roadwatch says it is very icy on secondary routes in Co Clare and also on the N18 Ennis Bypass.
In Co Cavan there are very icy in spots on the N3 Dublin/Cavan Rd and in the Baileboro and Virginia areas.
Gardaí have advised motorists to drive with extreme caution on the M7 between J12 Newbridge and J14 Monasterevin, or avoid if possible.
Bus Éireann services in Cork are severely disrupted.
All city services and many suburban routes and several services in the county have been suspended.
Services between Limerick and Dublin have been suspended due to road conditions, and there are long delays on the service between Dublin and Ballina.
Meanwhile, Dublin Bus services are operating on a restricted basis and services on routes on higher ground and through housing estates are again being limited.
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