The 73-year-old, who recently reunited with estranged daughter Jolie, said that the film industry should "be afraid" of the couple's six-strong brood.
Asked if he expects another generation of actors in his family, Voight told E!: "I do actually. I don't want to say [who], but I have a feeling that they will. I have no doubt.
"Hollywood should be afraid of them. These guys are really something."
Voight added that the children's loved ones would happily "support" all of their aspirations.
"I try to give them support as Brad and Angie do," he said. "They really let these kids be who they are."
It has recently been reported that Jolie and Pitt are expecting their seventh child.