Kimora Lee Simmons Gets Sole Custody of Children

06/27/2008 at 09:35 AM EDT

Kimora Lee Simmons Gets Sole Custody of Children
Kimora and Russell Simmons, in 2005
Alberto Tamargo/JPI
Kimora Lee Simmons has won sole custody of her two daughters with hip-hop mogul Russell Simmons, Ming, 8, and Aoki, 5.

According to legal papers obtained by The Insider, Russell Simmons gets the girls one week out of every eight, plus extra time for summer vacations and holidays.

In addition, he pays $20,000 per child per month in child support. That cash flow stops when each reaches the age of 19 1/2, or until the daughter is emancipated, married, becomes self-supporting, joins the armed forces or stops living with Kimora Lee Simmons.

Finally, he's required to buy or lease a car valued at $60,000 or more for the girls once every 24 months.

Kimora Lee Simmons, 33 and CEO of the Baby Phat line, cited irreconcilable differences when she filed for divorce from Russell Simmons, 50, in March after nearly 10 years of marriage.

She is now "kind of engaged" to actor Djimon Honsou.

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