Snow forced hundreds of drivers to get stuck in long queues and some had to spend the night in their vehicles.
The worst affected areas are Sussex and Kent in England, where several centimetres of snow fell, and some major roads had to be closed.
Police said snow and ice had caused hazardous conditions and they tried to help gritting lorries through to treat the roads.
The Met Office has issued an amber "be prepared" warning for some parts of Sussex and Kent, with about 10cm of snow expected on the ground Tuesday morning.
There are yellow "be aware" snow warnings for the south-east of England and north-eastern Scotland, as well as yellow warnings of ice covering in Wales and most of England and Scotland.
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