The Met Office has given weather warnings of “danger to life” as winds are reaching 90mph and there is a high chance of power cuts with disruption to transport.
Scotland has been issued with an amber alert for “very strong and disruptive” winds and some train services are being cancelled in the country.
The alert is in place from 4pm until midnight for the middle of England, East Yorkshire, Hull and South Perthshire in Scotland.
The Met Office said, “Injuries and danger to life is likely from large waves and beach material being thrown onto coastal roads, sea fronts and properties.”
Storm Dudley will strike the northern half of the country this evening until Thursday morning then Storm Eunice will hit on Friday.
Meteorologist Alex Deakin said, “It’s going to be a windy day throughout with those winds continuing to pick up through the afternoon and the evening.
“There will be some snow on the hills across Scotland, but it’s the rain and more particularly the wind we’re concerned about in this storm system on Wednesday.
“It’s likely to cause transport disruption and dangerous conditions by the sea.”