British Airways says it is planning to run a full schedule at Gatwick and Heathrow today.
A global IT failure over the bank holiday weekend left 75,000 people with their flights cancelled or delayed.
The airline says it is working to get delayed bags to passengers.
Some were stuck in queues for hours, with many unable to check-in using the mobile phone app causing them to miss flights.
The latest information can be found on their website.
We are extremely sorry for the frustration and inconvenience customers experienced over the Bank Holiday weekend and thank them for their patience and understanding."
More top news
Members of the public have just a short time to apply to see Princess Eugenie and Jack Brooksbank on their special day in October.
An urgent review into safety of tower blocks has began and questions have been raised about their suitability for some residents.
Holly has the latest forecast for Wednesday and the coming days.