Uma Thurman delivered a baby girl on Sunday, July 15, her rep confirms to PEOPLE.

By peoplestaff225
Updated July 16, 2012 11:45 AM
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Uma Thurman Daughter's Name Revealed

She’s a mom — for the third time!

Uma Thurman delivered a baby girl on Sunday, July 15, her rep confirms to PEOPLE. “Mom and baby are doing well,” the rep says.

This is the Thurman’s first child with financier Arpad Busson; Thurman, 42, is already mom to daughter Maya, 14, and son Levon, 10, with ex-husband Ethan Hawke.

She and Busson, 49, began dating in 2007 and, after a brief split in 2009, have been together since.

Busson is already dad to sons Flynn, 14, and Cy, 9½, with ex-fiancée Elle MacPherson.

— Sarah Michaud with reporting by Elizabeth Leonard