Klum, who is married to Grammy-winning singer Seal, says on her Web site that the baby was born on Friday.
In the message posted Tuesday, Klum says: "She is beautiful beyond words and we are happy that she chose us to watch her grow over the coming years."
Klum already has two young sons with Seal, whom she married in 2005. The 36-year-old also has another daughter from a previous relationship.
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