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The hip-hop mogul, whose legal papers cite irreconcilable differences, is seeking joint physical and legal custody of his and Lee's daughters, Ming, 8, and Aoki, 5. The couple married in 1998.
In her divorce filing in March, Lee, 33, requested that Simmons, 50, get "reasonable child visitation ... to be accompanied at all times by the children's nanny and security personnel."
Both parties are asking the court to deny spousal support for the other.
At the time of their initial separation in 2006, Simmon said in a statement: "Kimora and I will remain committed parents and caring friends with great love and admiration for each other."
Lee is now dating Djimon Hounsou.
Simmons's filing was first reported by CelebTV.com.
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