The yellow warning will be in place at 8pm until 12pm tomorrow afternoon.
There is chance of travel delays on roads with chances of flights and trains being cancelled, power cuts and problems with mobile phone coverage could also occur.
'Accumulations of 1-3 cm are likely quite widely, with accumulations of 5 cm in places. Higher ground may see a little more in the way of snow.
Unsettled conditions will bring the chance of disruptive snow to all parts of the UK.
There will be a heavy frost overnight and Tuesday could well see some more wintry flurries.
He says that the third Monday in January is the day when people lose the last glow of the festive period, break their New Year resolutions and look out for miserable weather conditions.
A spokesman for Met Office said: "Snow, possibly heavy at times, developing overnight Tuesday and into Wednesday".
Issuing the warning this morning (Monday, January 28) at 9:00am, the warning will be valid from 6:00am tomorrow morning through to 6:00pm on Saturday evening (February 2).
Bone-chilling temperatures then threaten to turn the snow into ice come Wednesday morning, sparking potential rush hour chaos for commuters.
Snow is expected to fall in the night on Tuesday, and will begin to ice over early on Wednesday.
The Met Office has said that untreated roads and pavements could lead to accidents.
High pressure over Britain has kept the cold weather at bay so far this winter, which has been mostly settled and mild.
England can expect temperatures as low as -6C this week and Scotland is forecast to suffer lows colder than -14C.
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