The warning is in force from 12noon on Saturday until 10am on Sunday and warns: "Heavy snow and blizzards may develop across Scotland and northern England with a risk of freezing rain in places.
"There is a risk of snow developing with strong southeasterly winds affecting northern UK on Saturday afternoon into Sunday morning.
"The snow could be heavy at times, especially over hills where blizzards may develop, and is likely to drift in strong winds.
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Across northern England and southern Scotland, snow may turn to freezing rain above 200-300 metres leading to widespread ice developing on Saturday night. 2-5 cm of snow is likely at lower levels, whilst higher ground could see 10-20 cm."
It adds that there is the possibility for travel delays on roads, stranding some vehicles and passengers, as well as delays or cancellations to rail and air travel.