Weather warnings remain in place for south-west and north-east regions owing to strong winds from Storm Atiyah.
And more strong gusts are forecast from a second storm expected to hit the country on Tuesday.
The Met Office has forecast England and Scotland will be “windy across all areas” with severe gales possible in the northwest, with wind gusts potentially reaching 100mph.
The south-west of England and Wales were buffered overnight by gales of up to 70mph after the storm swept in from Ireland, where it disrupted transport and power networks.
The Met Office issued yellow weather alerts for up until 9am on Monday for areas stretching from north-west Wales to the Isle of Wight, while a second yellow warning remains in place for England’s east coast from Norwich to Middlesbrough.
The Met Office says delays are likely to road, rail, air and ferry transport, and that short-term loss of power is possible in some areas.
Western Power Distribution said it had experienced 26 high voltage faults in the south-west on Sunday and two in Wales, leading to 5,500 customers being cut off from power over the course of the day.
At Culdrose in Cornwall, the wind hit 70mph in the hour leading up to 9pm.
“The strong winds are pretty widespread,” said Met Office meteorologist Alex Burkill. “It’s very windy in the west and south-west so that’s where we’re going to see the greatest impact unfortunately.”
In the south-west, Coastsafe, a partnership campaign aiming to improve coastline safety, urged people to be wary of tidal surges and debris being thrown over sea walls during the storm.
The M48 Severn Bridge introduced lane closures on Sunday due to increasing wind speeds.