The show, which starred Katie Holmes, was axed by the History Channel earlier this month because it was "not a fit for the History brand".
Speaking to Access Hollywood, Kennedy admitted that he isn't aware of the details of the project but appeared pleased that it has been cancelled.
"You know, I don't know much about it," he said. "My understanding of it was that it was historically inaccurate, that it was created by a group of people who had an extreme and ingrained hostility towards my family and that they, you know, they twisted history. I don't think that - in any case, whoever it's about - that we should be teaching history to Americans that is not true."
Kennedy was also asked about rumours that members of his family were responsible for the show's cancellation, but replied: "Not that I know of."
The future of The Kennedys is now uncertain. The show's producers originally intended to find a new home for the miniseries but FX, HBO, Starz, Showtime and DirecTV have all turned down the opportunity to broadcast the programme.