The Met Office is warning that weather across the UK is about "to take quite a dramatic turn". Warnings for snow and ice have been issued for some regions.
It is due to a deep area of low pressure that is edging towards our shores from Greenland.
Temperatures could drop quite sharply and struggle to rise above zero during the day with southern England, London, the Midlands and north-west England all becoming noticeably colder.
"Showers will be falling as sleet and snow - and all areas of the country could be hit.
"In northern England, Northern Ireland and Scotland there will be a greater chance of the snow lying.
"There's the potential for 10cm snow over Scotland on Tuesday."
Temperatures are expect to drop below freezing across the majority of the UK on Tuesday, and they could get to as low as -6C in rural parts of Yorkshire.
It is expected to become blustery this evening with winds increasing in strength and blowing an icy chill in from the west.
The bitter north-westerly will continue to get stronger, with gale force gusts predicted, carrying masses of cold air over Britain.
Heavy rain will push eastwards turning to snow over higher ground. There are weather warnings issued for parts of Scotland, the north of England and Norhern Ireland. These may be extended during the week to cover other parts of the UK further south.
The full regional forecast for Yorkshire:
It will remain dry for much of the day, with a mixture of brighter, perhaps sunny spells, but also some cloudier periods. However winds will strengthen, with cloud gradually increasing from the west during the afternoon. Maximum temperature 6C.
Rain and strong winds spread southeast during the first half of the night. Heavy bursts are likely, before easing away around dawn. However further showers are then likely to follow. Minimum temperature 2C.
Early showers will ease away, with sunny spells developing. However turning cold, with strengthening winds bringing further heavy showers in from the west later. These increasingly wintry across the hills. Maximum temperature 6C.
Outlook for Tuesday to Thursday:
Cold, breezy, with sunshine and wintry showers Tuesday and Wednesday. Snow accumulations likely across hills. Showers easing Thursday, but staying cold. Risk of rain, snow and strong winds early Thursday.