The 31-year-old television personality shared a sweet picture with Ozzy, 68, and Pearl, 5, while returning from a family trip for Ozzy and Jack's World Detour.
"Homeward bound. See he's just like us. #southwestairlines #familytrip #ozzyandjack #season2," he captioned a photo Wednesday of the trio in their airplane seats.
Ozzy and Jack's World Detour premiered on the History channel in July. The series follows Ozzy and Jack as they travel around the world to learn about history from various experts.
"Filming #OzzyAndJack's World Detour Season 2 @OzWorldDetour," Ozzy captioned a video Thursday of himself firing a gun in an unknown locale.
Jack shares Pearl and 23-month-old daughter Andy with wife Lisa Osbourne, whom he married in 2012. He couldn't help but gush about his growing family in an interview with Hello! in 2015.
"Pearl is such an awesome kid and we can already tell that Andy's amazing," the star said. "It's the weirdest thing when you already have one child, who you love so much. I look at Pearl and I think, 'How can I have this twice?'"
Ozzy and Jack's World Detour will return for a second season this year.
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