The couple's 16-year-old son Jaden split from Kylie Jenner, 17, last year after three years of dating, but despite having a good relationship with Kylie previously they are believed to be unimpressed with her and older sister Kendall Jenner due to their recent behaviour.
Will and Jada are not budging on their stance because they don't want Jaden or his sister Willow, 14, to be "pawns" in the Jenner girls and Kardashian clan's "low-level fame game".
A source told America's OK! magazine: "Will and Jada were never fans of the Kardashian clan. But after learning about Kendall and Kylie's recent antics, they don't want Willow and Jaden associating with the girls anymore."
"At this point they feel that the entire reality TV family has built an empire on shock value - and they don't want their kids to be pawns in a low-level fame game.
"They say mingling with the Jenners could ruin the kids' images."
But After Earth star Jaden - who attended Kim Kardashian West's wedding to Kanye West in Florence, Italy with Kylie last May - isn't happy about the ban even though Kylie is now dating Tyga.
The insider said: "They're having a hard time convincing Jaden that they have his best interests at heart. He can't understand why his parents suddenly don't trust his judgement."
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