Birmingham Airport said it was open as usual, but there were cancellations to flights to destinations including Belfast, Dublin, Glasgow, Aberdeen and Paris.
Transport for Wales said all lines were closed between Shrewsbury and Swansea and there would be some disruption on services between Shrewsbury and Chester, because of the weather.
National Rail said damage to the electric overhead wires between Walsall and Birmingham New Street had caused disruption and trains may be cancelled or delayed.
Embankment damage between Polesworth and Atherstone will mean trains from Crewe travelling south towards London Euston will not call at Atherstone.
And trains between Birmingham and Liverpool Lime Street will operate between Birmingham and Crewe only.
Hundreds of homes lost their power in places including Rugby, Worcester, Kidderminster and Ledbury, but it was quickly restored in most cases.
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