The passage of Storm Goretti led to flight and train cancellations and disruptions on the roads.
Heavy snow has been falling on Paris since early morning, while southern United Kingdom is expected to be affected in turn on Thursday and Friday.
Cold waves struck both countries on Wednesday.
Météo-France placed much of northern France on orange alert for snow and ice.
Its British counterpart, the Met Office, issued an ice warning for Scotland, while alerts in England and Wales are expected to be lifted as the day progresses.
In Paris, RATP announced on its website the suspension of all its bus lines due to weather conditions, while RER train services were disrupted.
"A gradual and partial resumption of the network is planned for early afternoon, depending on how weather conditions develop," the operator stated on its website.
This heavy snowfall coincides with the first day of the winter sales.
French authorities have banned heavy truck traffic in several departments in northern France.
The CEO of Carrefour supermarkets said these bans would cause disruptions in supply chains, particularly for fresh products.
In the Netherlands, the snowstorm forced airline KLM to cancel 600 scheduled flights on Wednesday at Amsterdam's Schiphol Airport, which is experiencing its sixth consecutive day of disruptions.
KLM said it was facing a shortage of de-icing fluid and that delivery disruptions could lead to shortages. Its French partner Air France indicated it was not facing this type of problem.
Schiphol Airport stated it had sufficient stocks of another type of de-icing fluid for clearing runways.
French Transport Minister Philippe Tabarot announced Tuesday the cancellation of 40% of Wednesday's flights at Paris-Charles-de-Gaulle Airport in Roissy, France's largest, and 25% of flights at Orly.
In Brussels, some flights were cancelled and delays are expected.
(Written by Inti Landauro, Thomas Seythal and Louise Rasmussen; French version by Zhifan Liu, edited by Kate Entringer)
