British Airways cabin crew will begin a three-day strike over pay today.
BA say a small number of short-haul services to and from Heathrow will be cancelled.
All long-haul flights to and from Heathrow, Gatwick and Stansted, as well as all flights to and from London City, will run as normal.
Snow and windy weather has led to the cancellation of around 80 flights at London's Heathrow Airport.
A spokesperson said: "The latest forecast is for snow this afternoon, which will reduce the number of aircraft able to take off and land each hour."
- For the latest flight information at Heathrow click here.
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It shouldn't be a decision between expanding either Gatwick or Heathrow but both, a spokeswoman for the Association of British Travel Agents said.
Victoria Bacon told ITV News: "By the time this additional runway gets built in 2025 there will be a need for more capacity so planning right now for the long term is really important. We don't think it's either or, it's both."
Foreign Secretary Boris Johnson has said a third runway at Heathrow is "undeliverable", adding: "I think it very likely it will be stopped."
The long-time opponent of Heathrow expansion has been given permission to publicly speak out against the Government decision.
Mr Johnson said the project would cause "inevitable degradation" to the quality of life of people under the potential new flight paths.
"A third runway is undeliverable," he said. "The day when the bulldozers appear is a long way off, if indeed they ever materialise."
Several ministers will soon join Foreign Secretary Boris Johnson and Education Secretary Justine Greening in publicly condemning the Government's plans to build a third runway at Heathrow Airport, ITV News has learned.
ITV News Deputy Political Editor Chris Ship tweeted:
I'm told more ministers will join Boris and Justine in opposing #Heathrow in the coming days. Not Cabinet - but ministerial level