"The Cruise Ship" will be a behind the scenes look at crew and passengers on Royal Princess.
The production company -– Pulse -– are also in talks with US networks to do a US version of the show.
Paul Ludlow, Princess Cruises' managing director, likened the new documentary to the iconic US series "The Love Boat", that ran for many years.
Speaking at a media event onboard Royal Princess, Ludlow said: "The production company and ITV shared the same vision as us -– to create a series which was an uplifting documentary about cruising, focusing on the people and personalities.
"We're positive the show will strike a chord with everyone who enjoys travelling with us and also open up the appeal of cruising to a whole new generation of holidaymakers."
Ludlow confirmed that Princess had no editorial control over the documentary and did not know how the ship would be portrayed until they saw the final edited versions.
A spokesman for Pulse told Cruise Critic: "We are casting for a potential US version of "The Cruise Ship" and we are talking to networks."
"We would have to go back onboard to cast for a US version of the show. We're just at the beginning stages, the pre-development, so it's early days."
Ludlow added that he was confident that it would portray the ship and the line in a positive light.
"We have seen all four episodes and we are delighted with how the ship is portrayed. We had no editorial control, but we have confidence in our crew and they come across really well."
He said the key thing was that Pulse was not approaching the project with "an angle".
Last year Fred. Olsen Cruises invited a film crew ostensibly to film a religious programme following the onboard vicar. However, the programme focused on the passengers instead and was almost universally criticized as portraying both the line and cruising in general in a bad light. However, Fred. Olsen claimed they got £1m of bookings as a result of the coverage and Princess will be expecting a similar boost in bookings.
--by Adam Coulter, UK Editor