Jones served as a panellist on The View for nine years, but famously exited the series with a surprise on-air announcement of her departure that apparently angered Walters.
Walters grilled Jones on her return to The View about the way she chose to leave the series six years ago, drawing some criticism from the press for the intense questioning.
Speaking to Access Hollywood, Jones dismissed the suggestion that Walters owes her an apology for the tough questioning.
"She doesn't need to apologise - that's your problem, that's their problem, that's not our problem," Jones insisted.
The presenter - who underwent heart surgery in 2010 - went on to say she's thankful that Walters and View producers allowed her to promote the American Heart Association on the show.
"Heart disease kills more woman than any other disease, and there's no question that Barbara and I have had ups and downs over the years. But you know what? Being gracious doesn't cost you any money, so it's okay to just call it 'ups and downs'," she explained.
Jones continued: "But the best part of this 'up' is we've united to help other women and that's what she taught me. Under no circumstances will anyone ever get me to trash what she gave to me. What she gave to me got me into a place where I have a platform to advocate for women, so thank you Barbara."
The presenter is currently a legal analyst for NBC's Today.
> Star Jones: 'I miss The View'
Watch Star Jones's return to The View below (US only):