What is the name of the Disney cruise line?

The Disney cruise line is called Disney Cruise Line.

Disney Cruise Line is the cruise-line subsidiary of The Walt Disney Company. It was incorporated in 1996 as Magical Cruise Company, Limited, and its first ship, Disney Magic, entered service in 1998. The line combines traditional ocean-liner styling with Disney characters, themed entertainment, family programming, and onboard dining and recreation.

Its ships are named with the Disney brand prominently attached, including Disney Wonder, Disney Dream, Disney Fantasy, Disney Wish, Disney Treasure, Disney Destiny, and Disney Adventure. Disney also operates private destinations in the Bahamas, including Castaway Cay and Lookout Cay at Lighthouse Point. A common mix-up is treating Disney Cruise Line as a ship name; it is the company and brand operating the fleet. Norwegian, Carnival, and Royal Caribbean are separate cruise companies.