The yellow weather warning was previously issued for the period between 3am and 2pm today (29 November), but has since been extended until 5pm this evening.
Gusts of up to 65 mph are possible in exposed areas, with the Yorkshire Dales issued with a red alert for gale force winds.
Forecasters are warning the extreme winds could cause damage to buildings and heavy rain may lead to potential surface water flooding in some parts.
In the worst affected areas, the blustery conditions could result in power cuts and lead to flying debris, which could pose a 'danger to life'.
Commuters are also being warned of travel disruptions to road, rail and air services, with some possible cancellations as a resilt of the bad weather.
Roads and bridges may also be closed as a precaution.
The Met Office warning reads: “A weather system will move northeastwards across the UK on Thursday bringing widespread strong winds.
“Inland gusts of 50 mph are likely with gusts of 60-65 mph in exposed locations around Wales and western England.
“There remains a small chance that this system will intensify as it moves northeastwards bringing even stronger winds to southwest England, Wales and on into northern England and southeast Scotland.
“If this occurs, gusts of 70-80 mph could be seen, mainly in exposed locations, bringing increased likelihood of more significant disruption.
“In either case, winds will moderate by late morning across western England and Wales, then by mid afternoon across northern England and southeast Scotland.
“Heavy rain is also likely to affect southern and western England as well as Wales, and following on from recent wet weather this may lead to some very localised surface water flooding."
The forecast for Yorkshire today is wet and increasingly windy heading into the afternoon, with heavy rain expected from midday in some parts.
Areas including Leeds, Sheffield, Doncaster and Harrogate are all expected to be hit with heavy rain showers this afternoon, but the unsettled conditions are set to improve from 5pm this evening.
There will be some clear spells alternating with blustery showers, which will be heavier and more frequent over the hills.
The weather is forecast to remain breezy and colder than previous nights, at a minimum temperature of 3C.