Heathrow Airport plans to run two-thirds of flights, and Eurostar and the East Coast mainline from London to Scotland expect a near-normal service.But several airports across the UK are still warning of disruption, including Edinburgh, East Midlands and Gatwick. Warnings of heavy snow remain in place for the Midlands and eastern England.
Heathrow reopened its second runway on Tuesday evening, but warned travellers not to expect services to return to normal straight away.
It told passengers to travel to the airport only if their departure was confirmed, and said it was working with airlines to return to a normal schedule as quickly as possible.
Eurostar said it was planning to run 43 out of 52 services from London St Pancras on Wednesday. It advised passengers to turn up only if they have a valid ticket, and only an hour before they travel.