As well as the weather warnings, the Environment Agency has issued 35 flood warnings and 162 lesser flood alerts.
Warnings indicate flooding is expected in those areas, while alerts suggest flooding is possible.
Areas facing warnings include central and southern Somerset, the Dorset coast, and parts of south and west Yorkshire, among others.
Met Office meteorologist Annie Shuttleworth said: “After a pretty nice start to the week, things will turn much more unsettled across the UK for Tuesday.
“Rain pushes up into northeastern areas throughout [Tuesday] morning and then it will linger across northeastern parts of England as well as southeastern Scotland. There’s been a lot of rainfall here recently, so the ground is well-saturated.
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“Behind that, plenty of showers are developing. These will push into parts of the Midlands by the middle part of the day and without much of a breeze they could be quite long-lasting showers. They bring a risk of hail and thunder as well.
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“So a bit of an unsettled, unpleasant day for many, particularly if you get caught in those showers.”
The latest warnings come after weeks of flooding across the UK, with storms Elin and Debi, which brought flooding and transport chaos to the UK across November and December.