The high winds are expected to be replaced by freezing conditions, with the Met Office issuing yellow "be aware" weather warnings for snow and ice.
The alert is in place for Yorkshire and Humber from tonight through to Wednesday., as well as North West and North East England, Scotland and Northern Ireland.
Forecasters have warned that freezing conditions currently affecting Scotland will extend into northern England.
Two to 4cm of snow could fall on ground above 100m, with more than 10cm expected above 300m and icy patches are likely from this evening.
Engineers in Scotland are working to connect around 900 homes that remain without power after severe weather hit parts of the country.
Scottish Hydro Electric Power Distribution said 918 properties in the north of Scotland are still cut off after the high winds, heavy rain and snow.
The worst area is rural Dingwall, where 320 homes are still affected by the outages which hit more than 120,000 last week and over the weekend.
Mountain Rescue teams helped distribute around 400 litres of soup overnight, while generators, hot food and drinks are being supplied to those in need, including at local hotels in Stornoway and Tarbert.
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