Storm Bella will bring severe gales and heavy rain on Boxing Day, the Met Office has warned.
Its arrival will bring winds of up to 70mph in exposed coastal locations and further downpours.
There was flooding around the country on Christmas Day, with residents living in parts of Bedfordshire urged to leave their homes.
An amber wind warning, which warns travel could be disrupted, has been issued for parts of south Wales and across southern England on Saturday.
Meanwhile, a yellow warning of wind for the whole of England and Wales as well as the far south of Scotland has also been issued and will be in force from 3pm on Boxing Day.
It follows relatively calm and cold conditions across the UK on Friday, which saw early morning snowfall recorded in some areas – with the weather service declaring it a White Christmas.
Reports of snow came in from Leconfield in Humberside and Wattisham in Suffolk at 5am on Friday morning, while parts of Greater Manchester saw snow during the afternoon.
In addition to the strong winds, the Met Office said a period of heavy rain will affect western and southern areas on Boxing Day.
A yellow warning for rain has been issued for parts of Scotland, Wales and much of north and south west England on Saturday, including areas where there has already been flooding from recent downpours.
Bedfordshire Police on Friday "strongly urged" residents living near the River Great Ouse in north Bedfordshire to seek alternative accommodation due to fears of flooding.
On Christmas Day, Superintendent Steve Ashdown, who is leading the response, said officers had visited just over 1,300 homes in the area the previous evening.
Superintendent Steve Ashdown is leading our response to the anticipated flooding in north Bedfordshire.
Residents living near the River Great Ouse in north Bedfordshire are strongly urged to leave their homes and seek alternative accommodation due to the risk of flooding pic.twitter.com/ZOV9oxDrut
— Bedfordshire Police (@bedspolice) December 25, 2020
"The river is currently at heightened levels and we're predicting a significant flooding event by 8pm this evening," he said in a video on Twitter.
"If you received one of those notices last night, you are in one of those properties that are most at risk from this flood. We would encourage you to leave if it is safe for you to do so, as soon as you are able to do so.
"Appreciate the timing of this at Christmas Day is not great, but the risk to you and your family and wellbeing is significant."
He asked residents able to leave their homes to do so in a "Covid-safe way" if possible, recommending they go to one single location and stay there until it is safe to return in the coming days.
Across England, a total of 85 flood warnings and 110 flood alerts, as well as the two severe flood warnings, remained in force at 4pm on Christmas Day as huge amounts of water flowed through river catchments.
Northamptonshire Police urged people to stay away from the Billing Aquadrome holiday park, after hundreds were evacuated on Christmas Eve due to high water levels on the River Nene.
UPDATE: A flooded Northampton holiday park remains closed despite receding water levels on the River Nene.@northantsfire has stood down its "major incident" status, but residents are urged to stay away from Billing Aquadrome until it is safe to return possibly later today...
— Northants Police (@NorthantsPolice) December 25, 2020
The force said water levels had reached 5ft in some places, with emergency services using boats to take residents in the worst-hit areas to safety.
Most of those evacuated were able to find overnight accommodation with friends and family, with a special exemption from Covid-19 restrictions, while about 100 people were transferred to a hotel.
Detective Superintendent Jamie Piscopo said: "Emergency services are working hard to ensure residents can return to the site as soon as possible, however it is not currently safe to do so.
"We'd urge them to stay away until such time it is safe to do."