The 57-year-old, who has three kids with ex-wife Moore and one with current wife Emma Heming, said he is still close to Moore, reported Contactmusic.
"I'm very proud of my daughters. I would do anything for them. And for my wife Emma. And probably for Demi as well," Willis said.
Despite their high-profile divorce, Willis is proud that he and Moore managed to keep their split private, as he thinks it was important for the welfare of their children.
"We both didn't want to wash our dirty linen in public. We did that for our children as well," he added.
Following their split, Moore went on to marry Ashton Kutcher but split from him recently amid claims that he cheated on her.
"My daughters Rumer, 23, Scout, 20, and Tallulah, 18, his current spouse Emma and their baby girl, three-month-old Mabel, are the most important people in his life," Moore said.