Sources connected with the family tell TMZ ... Bruce has been living in Malibu full-time and spending a lot of time with his sons Brody and Brandon. Kris is firmly planted in Calabasas with her daughters.
TMZ is told Bruce has privately told his sons living away from Kris was just the way the relationship evolved.
In their statement, they say they will continue to have love and respect for each other.
It's unclear how the split will impact their reality show but Bruce will still be a part of the show and sources tell TMZ the split will become a big part of the story line in season 9.