Western Power Distribution says that five thousand homes in South East Wales are without electricity because of the bad weather.
They say that properties in Swansea, Cardiff and the Valleys are worst affected.
The high number of incidents due to strong winds and heavy rain mean that they are working at ten times their usual rate.
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Wales have qualified for the Euro 2016 quarter finals after beating Northern Ireland 1-0 in Paris.
A rally has been held in Cardiff following the EU referendum to show support to migrant communities.
It's 0-0 at half time in Paris as Wales face Northern Ireland in the last 16 of Euro 2016.