Some 7,500 of them had still not had their electricity restored on Friday morning.
Forecasters expected winds of 80 kiliometres per hour on the Channel coast on Friday, although they did not expect them to reach the 140 kph experienced earlier this week.
Flood warnings were issued for six departments in west France - Finistère, Morbihan, Ile-et-Vilaine, Mayenne, Maine-et-Loire and Loire Atlantique - and in the north-west near the Belgian border and heavy rain was expected in the Ardennes.
A warning of floods caused by waves hitting the coast of southern Corsica was lifted, however.
The authorities underestimated the extent of Storm Dirk, Interior Minister Manuel Valls admitted on a visit to storm-hit regions on Friday.
Speaking in the Breton town of Quimperlé, one of three that was hit by serious flooding during the week, he said he would ask regional officials to find out why a sufficiently high level of alert was not announced.
In another of the towns, Morlaix, Valls promised financial aid to shopkeepers whose stock had been ruined by the fllooding.