Speaking with the TV series' host Billy Bush, the 43-year-old actress said she and Willis have remained friendly since their divorce and now act as a family unit along with her new husband, actor Ashton Kutcher.
"I think that we had an intention to keep our children as our priority in the scope of something changing, the format of our family changing," Moore said of Willis. She had three daughters with Willis during their marriage. "And you know, I have somebody who is a great father, who's present, he's a part of their lives, there are a lot of people who don't have that."
Yet the "Striptease" star said that Kutcher, whom she married in September 2005, and Willis have come to respect one another and help the mixed family perform as one cohesive unit, she said.
Willis "and Ashton have a mutual respect for one another and we approach it really as a team," she told "Access Hollywood." "We're a team and we want the best for our children, we spend all of our holidays together."