TUI Group said summer holiday bookings were higher than last year, outshining rival travel firm Thomas Cook which said last week that customers were delaying plans due to security concerns.
TUI said bookings for the summer, when it makes all of its profit, were up 2% and average selling prices were up 1%.
This puts it on track to meet a target of growing core earnings (EBITA) by at least 10% this financial year.
The booking pattern seen by TUI contrasts with a warning from smaller rival Thomas Cook.
It had said earlier this month that summer bookings were 5% lower than last year, as customers organised holidays later due to concerns about security in formerly popular destinations.
An attack on tourists in Istanbul in January has caused demand for trips to Turkey to plunge in recent months, while last year there were also attacks in Paris, Egypt and Tunisia.
Earlier in March, 31 people were killed in attacks in Brussels.
Instead of North Africa and Turkey, TUI said tourists were choosing to go to Spain, including the Balearic and Canary Islands, as well as further afield to Mexico, Jamaica, the Dominican Republic and Costa Rica.
Analysts said TUI's move to sell more upmarket holidays, which are exclusive to its customers, meant its booking profile was different to Thomas Cook's.
While Thomas Cook has also positioned itself to sell exclusive holidays, it is less advanced at doing so, exposing it to tougher competition from online holiday firms such as On The Beach Group and customers who tend to book later.