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."