Underlying earnings before interest, taxation and amortization in TUI's cruise segment rose 25.3% to €47m, up from €37.5m a year ago.
The average daily rate at TUI Cruises stayed flat at €149, while occupancy nudged up a point, to 100%.
At Marella Cruises, the average daily rate was £137, up from £129, and occupancy rose a point, to 102%.
Hapag-Lloyd Cruises' average daily rate increased to €591 from €533, whlle occupancy was 75%, a point lower than in Q1 2018.
TUI Cruises' Mein Schiff 2 just entered service, Marella Explorer 2 (previously SkySea Golden Era) begins operations in the summer and Hapag-Lloyd's luxury expedition ships Hanseatic Nature and Hanseatic Inspiration are also due in 201.