The presenter, who is leading CNN's coverage of the Diamond Jubilee, predicted that Prince Charles will ascend to the throne sooner than many think.
"Charles is a very misunderstood guy, and I think he'll make a great king. Despite what Americans may think, Charles will definitely be the next king unless he dies before the Queen," Morgan told Parade.
"They absolutely believe in natural succession. And then I think William will be king in 30 years and be a remarkable king."
He further explained: "I think they're all extraordinary given the amount of pressure and attention on them. William and Kate are probably the biggest stars in the world now.
"They get more magazine covers in America than Brad and Angelina, and I think that's a testament to the star power of the royals. Everybody thought it may have ended when Diana died, but I always believed William and Harry would continue to shine a great light on the royal family."
Morgan went on to discuss why he believes that Americans are so fascinated with the British monarchy.
"I think it's because [Americans] don't have a royal family. [Americans] have the first family, but the president can only rule for eight years. However beloved they are, after eight years, that's your lot," the CNN host joked. "We've had this extraordinary family for centuries."
The presenter continued: "What I've been struck by since I've been on CNN, is that Americans are very fond of the royal family and particularly of the Queen, and that's why I'm excited about doing this. I helped cover the royal wedding of William and Kate last year, and I remember even Anderson Cooper, who has been in every war zone in the world, said it was pretty amazing.
"The thing that Brits do better than anybody in the world is pomp and pageantry. It's going to be an extraordinary four days in the history of modern Britain."
Morgan's coverage of the Diamond Jubilee continues tonight (May, June 4) on his CNN series Piers Morgan Tonight.
Photo gallery - Diamond Jubilee concert at Buckingham Palace: