TUI Group, the world's largest leisure tourism firm, said bookings were up on last year, as European demand for holidays continued despite increased security threats.
This puts the group on track to grow annual earnings by over 10%.
Security worries have forced holiday companies like TUI to cancel trips to some destinations this year.
In November, flights were suspended 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 that for its summer 2016 programme, it had seen a good start to trading, with bookings from Britain up 11%.
This gave it confidence in its target to grow core earnings by at least 10% on a constant currency basis in the current financial year.
For the 12 months ended September 30, it reported underlying core earnings of €1 billion on a constant currency basis, 15.4% higher than last year, beating the top-end of its own guidance for a rise of between 12.5-15%.
The positive outlook from Germany-headquartered TUI, reflected forecasts from smaller rival, Britain's Thomas Cook, which said in November that demand for its holidays was ahead of last year.
TUI, formed last December through the merger of London-listed TUI Travel and German majority owner TUI AG, also said it would raise its dividend per share to 56 cents from 33 cents.