The Guardians of the Galaxy actor - who has Jack, 13, with first wife Anna Faris and Lyla, five, Eloise, three, and 16-month-old Ford with Katherine - explained his spouse is "very old-school" and doesn't want their kids exposed to too much technology so they are "waiting" until they are older to let them sit down in front of the TV.
Pratt revealed the rule on Today when asked if his children had seen any of his films.
"My five year old, my three year old and my one year old have never seen movies," he said.
"Katherine is very old-school when it comes to screens and technology and all of that stuff. So, we're waiting."
The Lego Movie star joked he's expecting to go up in his kids' estimation when they do get to see his work.
"There's gonna be a season, they're gonna realise their dad is really cool. They haven't realised it yet, but one day," he said.
"My 13-year-old, I took him to a screening of the first [Super Mario Bros.] movie. He thinks it's pretty cool."
"Jack likes me, though," he joked.
Pratt and Schwarzenegger married in 2019, with the 46-year-old actor recently revealing they underwent premarital counselling before tying the knot.
"Part of getting married at St Monica's church is doing premarital counselling," he said on a podcast with Rob Lowe.
"We did like, six sessions with this guy who was, by the way, the best thing in the world," he said.
"They ask you questions you would not even think to answer until you have been married for eight years, and then something comes up and you're like, 'What do you mean that's how you think about that?' And then you have to negotiate it then.
"It's like 300 potential landmines and you diffuse them beforehand," he said.
"That way, if you have an issue, you talk about it and you hash it out, every single one. If you agree on it, you move on. But if there's things you disagree on, you hash it out and you do the work to figure out why are you coming from this."