Met Office forecasters are predicting that the cold weather will continue until weekend, with some very cold nights in store.
Severe weather warnings have been issued for the ice and snow. Amber warnings remain in place for snow across parts of southwestern England and southeast Wales, where 2 to 5 cm of snow is likely in places with 10 cm or more possible on high ground.
Yellow warnings are in place for ice across parts much of the UK, and the public are advised to keep up to date with the latest forecasts and warnings and plan ahead if they are travelling.
Met Office weather warnings help you plan, prepare and protect yourself and others from the impacts of severe weather. An amber warning means you need to be prepared for the weather and take steps to change your plans and protect you, your family and your community from the impacts of the severe weather.
Paul Gundersen, Met Office Chief Forecaster, said: "Tuesday nights heavy snow across parts of the south looks like being the last of the heavy snow for a while, with just light flurries around on Wednesday. The weather will stay very cold, but mostly dry through the rest of the week with severe frosts and patchy fog at night continuing to make it very icy.
"Everyone should continue to be aware of severe weather over the next few days and should plan ahead to take account of possible travel delays or disruption."
Darron Burness, the AA's Head of Special Operations, said: "With freezing conditions set to continue till the weekend, ice is going to be the biggest ongoing hazard over the next few days. Even if your car's thermometer shows the air temperature above freezing, bear in mind that the ground takes longer to thaw out, so ice is still a risk. Wherever you're travelling this week, stick to the gritted main roads where possible and check the Met Office weather alerts and traffic reports before departing."
There are signs that the cold air over Britain will finally be replaced by milder air from the Atlantic as we go through the weekend. This change will bring outbreaks of rain and strong winds but also some drier brighter conditions at times.
By thinking ahead we can all be better prepared for severe weather. Throughout the winter, the Met Office works with Get ready for winter to help keep the country safe, well and on the move.