He said: “It’s been a very, very cold night. On Thursday night we could see similar temperatures in Scotland, but Northern Ireland, England and Wales probably won’t be quite as cold.
“Saturday night into Sunday could also be very cold.”
Southeastern Trains said 21 services were being cancelled or altered on Thursday morning to minimise the impact of ice forming on the rails and ensure lines were clear and that it would run its “winter weather timetable” on Friday due to the forecast.
Manchester and Liverpool airports confirmed they were “fully operational” on Thursday morning.
It came after snow forced the airports to close runways for several hours on Wednesday, affecting tens of thousands of passengers.
Wilson added that central England and Wales could bear the brunt of the snow on Thursday afternoon and into the evening as wet weather coming through the south-west England turns wintry, with some places seeing up to 4in of snow.
Yellow weather warnings for ice are in place in north-western Scotland and the Northern and Western Isles, alerting travellers to be wary of slippery roads.
A similar warning is in place for north-west England, south-west England, Wales, Yorkshire and The Humber.
The Midlands, east of England, Greater London and the south of England should also beware of fog making driving on icy roads even more complicated on Thursday morning.
A yellow warning for snow is also in place across large swathes of England and is due to remain in place until late on Friday night.
Most of Scotland should also be prepared for snowfall, the Met Office warned.