The weather agency has issued a yellow warning for the South West of England.
It says while many places will remain dry, those seeing precipitation at some sites could see 20-30mm in an hour and up to 50mm in 2-3 hours, along with lightning.
The Met Office warns driving conditions are likely to be affected, along with possible delays to train services.
They also warn of possible short-term loss of power and other services.
The agency adds: “Some flooding of a few homes and businesses is likely, resulting in damage to buildings or structures.”
Buildings can also be damaged by lightning.
Driving conditions should be affected by sea spray, standing water and hail.
This will result in longer travel times by car and bus.
For those considering driving, the Met says: “Even moderate rain can reduce your ability to see and be seen.
“A good rule of thumb is ‘if it’s time for your wipers, it’s time to slow down’.
“If heavy showers are expected, avoid starting your trip until they clear.”
Drivers are also urged to choose main roads where possible and maintain a firm grip on the steering wheel due to higher winds.
They should also keep an eye out for gaps between trees, buildings, or bridges over a river or railroad.
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