Kim, 33, got famous bringing her real life, including her big family on screen with the TV series but West, 37, does not appreciate the fact that she has made her personal life public, reported Daily Mirror.
"Kanye has never been shy about his dislike of the reality show, especially since he's quite private about his life outside the music industry. Since the pair began to date, there has been an almost constant media circus around them.
Having already banned their daughter North West from appearing in the show, Kanye is now angling for his wife to do the same," a source said.
The show has been running for nine seasons and filming on the tenth is set to get underway soon, although it could be delayed due to disputes about security.
The reality series is responsible for launching the Kardashians and Jenners into the public eye.
Apparently the family clashed when Kim refused to allow total filming of her wedding to Kanye for the show at his request. There is no information on Kim's decision.