TUI Group, the world’s largest leisure tourism firm, said bookings are up on last year as European demand for holidays stays strong despite increased security threats.
Security worries have forced holiday companies to cancel trips to some destinations this year.
In November, the UK suspended flights to Egyptian resort Sharm al-Sheikh, while trips to Tunisia were cancelled earlier in the year after the death of 38 holidaymakers in a massacre on a beach in June.
The threat was further intensified by the attacks on Paris which killed 130 people on November 13.
TUI said it had seen a good start to trading for its summer 2016 programme, with UK bookings up 11 per cent.
It said the bookings increase puts it on track to increase annual earnings by over 10 per cent.
For the 12 months to September 30, it reported underlying core earnings of £724m on a constant currency basis, 15.4 per cent higher than last year, beating the top-end of its own guidance for a rise of between 12.5 per cent and 15 per cent.
The positive outlook reflects forecasts from smaller rival, Thomas Cook, which said in November that demand for holidays is ahead of last year.