Met Office chief meteorologist Jason Kelly said: “Persistent high pressure has brought light winds and clear skies, allowing fog to form, while weak November sunshine has meant it is fairly slow to clear.
“We’re expecting one more night of dense fog, with a warning in place for some areas. Increasing cloud and wind should then limit further widespread fog from developing.”
Freezing fog is possible further north on Tuesday, according to the Met Office, and temperatures are expected to fall low enough overnight for frost across parts of Scotland and northern England.
The forecaster has said persistent rain is possible towards the south-west, with some also affecting the south coast and western and southern Wales during the morning.
In the afternoon, cloud and rain will push north into central and southern England, Wales and the Midlands.