Los Angeles Superior Court judge Marjorie Steinberg signed off on an agreement Thursday giving Kimora Lee Simmons sole custody of the couple's two daughters, 9-year-old Ming and 6-year-old Aoki. The couple's divorce was finalized in January. Kimora Lee Simmons filed for divorce in March 2008, citing irreconcilable differences.

Russell Simmons, the 51-year-old hip-hop mogul, was granted visitation rights and must pay child support until each daughter reaches 19 and a half years of age.

The 33-year-old Kimora Lee Simmons has final say on whether her daughters appear on her reality TV show Kimora: Life in the Fab Lane.

A call placed to Russell Simmons' lawyer was forwarded to a recorded message declining to comment.