Friday will be overcast and breezy with outbreaks of rain, sleet and snow.
The amber warning will come into effect alongside four yellow warnings for snow and ice throughout Britain.
The Met Office has issued an amber "danger to life" warning for parts of the United Kingdom as icy roads and heavy snow up to 10cm deep is expected to settle a day after the cold snap led to disruption for airports and schools.
Braemar in Aberdeenshire was the coldest place in the country as temperatures dipped to -11C (12.2F), 0.2C lower than the previous record for 2019.
The Met Office is forecasting a night of snow for Banbury and the surrounding areas with a yellow weather warning in place.
Snow in South Wootton on January 30, 2019.
The amber warning, which will come into force between 2pm and 9pm on Thursday, says there could be travel delays, power cuts, and "a good chance that some rural communities could become cut off".
On Thursday morning, Southeastern Trains said 21 trains were cancelled or altered to minimise the impact of ice forming on the rails.
'3 to 7 cm is likely to accumulate quickly - within two to three hours - with up to 10 cm in some places.
The snowfall already exceeds the maximum 10cm of snowfall that was predicted when the forecaster issued a severe weather warning for Thursday. Sunny spells elsewhere, but wintry showers, especially in the north and east.
The Met Office tweeted: "Snow, initially moving north and east across parts of southern and southwestern England, the Midlands and Wales, will stall and tend to fragment".
On Wednesday, snow and ice caused travel delays and closed hundreds of schools in much of the UK.