Forecasters have warned there could be more snow to come this week after commuters were hit by up to four inches of it on Monday.
Snow showers caused disruption to travel in southeast England before moving westwards throughout the morning, leaving a covering on the ground.
The AA said that by midday it had attended 6,800 breakdowns across the country, with more than 60 cars stuck in snow or flood water.
In the Midlands, about a dozen schools were closed by the wintry weather.
Temperatures in the Welsh mountains, southern Pennines and at the top of the Cotswolds were just below freezing.
High Wycombe in Buckinghamshire was the worst affected by the snow with 13cm, while levels elsewhere remained at 1-3cm.
Tuesday is expected to be cold, cloudy and damp but more snowfall is not expected.
On Wednesday, a band of rain from the west will bring snow which will affect northern England, high ground in Wales and Scotland.
The Environment Agency has 18 flood warnings in place, with 11 for the Midlands.
A further 112 "be prepared" flood alerts have been issued, 56 of which are for the South East.
However, the agency said on its website that the risk of properties flooding across England and Wales is low.
Although rivers are higher, they are not yet anywhere near the disruptive levels reached over the Christmas and New Year period.
Over the weekend thousands of passengers were stranded in America after flights to Britain were grounded when a massive snowstorm hit the US east coast.
It dumped more than 3ft of snow from Massachusetts to New Jersey, while hurricane-force winds battered the eastern states and up into Canada, killing at least 14 people.