Flood warnings are in place across the UK with some regions expected to see as much as two weeks of rain in less than an hour later, the Met Office says.
South-west Scotland, Wales and southern England could experience power cuts, road closures and travel disruptions, it added in a yellow warning.
Meanwhile, a major incident has been declared on the Isle of Man due to the rain.
Police there are warning residents not to travel on the roads.
The Environment Agency has issued 76 flood warnings and 184 alerts across England amid regional disruption.
It also warned of floods caused by a coastal surge in Cornwall.
People were told to leave caravans and seaside properties in the county on Tuesday morning and not to return until it is safe to do so.
There were also eight flood warnings in Wales and one flood warning in Scotland, around Loch Ryan.
The Met Office yellow warning lasts until 20:00 across large parts of central and southern England, and Wales.
Heavy rain overnight meant a number of roads were flooded in Cumbria, where police say the north of the county is most affected.
A landslide on the rail line between Carlisle and Newcastle has disrupted train services.
Flooding on the Cumbria Coast line between Carlisle and Maryport saw cancellations on Northern services from Carlisle to Barrow and onwards.
However, fears of a coastal surge in Hunstanton, west Norfolk, were abated after lower-than-expected wind levels.
The Environment Agency confirmed an all-clear had been given just before 10:00 BST.
Further updates were expected after around 3,000 homes were told to evacuate.
On the Isle of Man, police have told residents not to travel as floods have caused disruption to roads.
Police added that people trapped inside homes should “go upstairs and await rescue”.
One video posted to social media showed fast-flowing water in the town of Laxey on the island’s east coast.
Flooding also appeared to trap cars in the East Midlands, with two vehicles caught up in high waters at Colston Bassett, Nottinghamshire.
Fire crews reported a number of rescues from stuck cars near Burton upon Trent and near York on Monday night.
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