Disney Chairman and CEO Bob Iger told CNBC's David Faber on Thursday that the company's new streaming platform has an edge over rival streaming service Netflix.

"While I think Netflix has done a good job of creating brand value, and name value, and a product that I think is considered of great value to a lot of people, they're still building their brand in many respects," Iger said. "Whereas in our case, we start with a customer relationship that, in many respects is visceral."

"We're pricing this to be accessible to the millions and millions – if not hundreds of millions – of Disney fans, and Marvel fans, and Pixar fans, and 'Star Wars' fans that are out there," he added. "The sheer number of people worldwide that know our brands, that interact with our brands on a daily basis, that spend money on our brands is huge. And no other company has that."

Disney announced Thursday at the company's investor day that Disney+ will be available starting on November 12 for $6.99 per month or $69.99 per year. The new service will allow customers unlimited downloads so that content can be viewed offline.

Iger also told analysts on Thursday that he would be stepping down in 2021 when his contract ends.

The importance of Disney+ is difficult to understate both for Disney as a leading media empire as well as for Iger himself, who's postponed his retirement to see the project through.

Iger, who's served as the company's chief executive since 2005, first announced in summer 2017 that Disney would introduce its own online streaming service. Though the decision will allow Disney to better take advantage of its extensive media hoard, it's also forced the company to make a huge bet that it can both terminate its profitable licensing relationship with Netflix and eventually compete with entrenched rivals.