Arnold Donald (pictured), chief executive of Carnival Corporation, said he hoped the show would help persuade the new-to-cruise market to consider it as a holiday option.
"Hopefully it will attract new-to-cruise. The show will centre around the experiences of some of our crew members and I'm very proud of the crew - I think people will find it very interesting. I'm hopeful that the grandeur, fun, the romance and adventure that cruising can be will be reflected in the show."
Carnival UK boss David Dingle said it was a "marvellous coup" for the cruise line.
"I want to congratulate Princess Cruises on pulling off this marvellous coup.
"It's really exciting news for the cruise industry and it all helps put this wonderful industry of ours firmly back on the map."
Talks are thought to be underway for a similar show for the US market.