By Sunday, the weather is expected to settle down slightly as both warnings are lifted.
Yellow Met Office Weather Warnings for wind and rain are in force for Friday and Saturday.
The Met Office said there will be strong winds and rainfall up to 10cm, leading to possible flooding and hard driving conditions.
Cork and Kerry are also affected by the status orange wind warning, but those counties have been advised to adhere to the warning between 10pm tonight and 9am in the morning.
The Met Office said there is the chance of injuries and a danger to life from flying debris.
On Saturday, areas over high ground could see a further 50 to 80mm of rain.
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Winds of 50mph will batter Northern Ireland, southwest England and west Wales during Thursday night, spreading to Scotland by Friday morning.
Richard Brown, Pembrokeshire County Council's Head of Environmental Services and Public Protection, said that although Council staff would be working continuously to clear the roads, motorists would need to be vigilant. "Road users should also be aware of the risk of their vehicles aquaplaning on standing water".
There is also a warning for rain in place for Cumbria from 12am to 23.59pm on Saturday (October 13).
"This event is predominantly expected to be a coastal one, though the severe winds will extend to inland parts, especially overnight and very early on Friday morning", Met Éireann has added.
"The track of this storm is a bit further north than Storm Ali, so therefore Callum shouldn't be as damaging as Ali was in central parts of the country".
It is because the storm is likely to coincide with high tides around the south Wales coast.
A National Emergency Coordination group has now been set up in order to deal with the storm. Winds of up to 130km are expected in coastal ares along with heavy rain and a risk of flooding.