A Met Office spokesman said: "As Storm Callum passes to the northwest of the United Kingdom, a period of heavy rain will affect South Wales during Friday, with further spells of persistent and heavy rain at times during Saturday".
Around 950 homes in south West England and almost 100 in south Wales have also lost electricity.
The warning for wind is in place across Wales and the north west until midnight tonight - with Wrexham also covered in the Met Office warning.
Winds of more than 70mph have buffeted the Republic of Ireland, Northern Ireland and the west coast of Britain along with torrential rain.
NRW has also advised people to take extra care will driving, to avoid walking or driving through any flood water, and to avoid fast flowing rivers and streams.
The storm is wreaking havoc on travel arrangements, with certain flights being canceled on Friday morning at Cardiff and Exeter airports.
Met Eireann has issued an orange storm warning predicting gusts of between 100 and 130km/h.
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The Met Office said there will be strong winds and rainfall up to 10cm, leading to possible flooding and hard driving conditions. Either way Storm Callum is coming and has the potential to cause damage ( though mostly in the west of the country).
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The forecast deluge poses a risk of communities being cut off by flooding, while widespread gales are expected to cause disruption across western areas of the UK. If it drifts further east, we would be in for stronger winds.
A yellow "be aware" warning is in place for the rest of Wales for strong winds.
"Despite clearance efforts by the Council, the high winds will increase the amount of falling leaves and block drains very quickly, exacerbating flooding" he warned.
The Met office have issued a yellow weather warning as Storm Callum brings a spell of heavy and persistent rain for tomorrow.
Whitchurch in Pembrokeshire saw 15mm of rain fall in a matter of hours on Friday morning as Michael moved in.
Windsor, the scene of Friday's royal wedding, was expected to escape the worst of the storm.
"Some further severe gusts are yet expected, with the the severe ORANGE warning still in operation for west and northwest coastal counties".