"Also I should see my children 100 % of the time but since there's a separation it should have been 50% of the time y'all wouldn't have played with Donda like that in Jesus name," he concluded, mentioning his late mother Donda West.
Khloe, 38, had commented on his Instagram earlier begging him to stop "tearing Kimberly down".
"Ye, I love you," she began. "I don't want to do this on social media but YOU keep bringing it here.
"You are the father of my nieces and nephews and I'm trying to be respectful but please STOP tearing Kimberly down and using our family when you want to deflect," she continued.
She also slammed the rapper for bringing up the "birthday narrative ... again" as he repeated his earlier claims that he was not invited to his daughter Chicago's party in January.
"Enough already," the reality star wrote. "We all know the truth and in my opinion, everyone's tired of it."
Khloe went on to claim that West knows "exactly where" his children are "at all times".
"YOU wanted separate birthdays. I have seen all of the texts to prove it. And when you changed your mind and wanted to attend, you came," she pointed out.
The Kardashians star added that her sister Kim takes care of the kids "80 per cent of the time" - which West himself has acknowledged in a podcast interview.
She then offered to "continue this conversation privately" if West wants.
"Please leave her and the family out of it so that the kids can be raised peacefully. I come from a place of love."