The 42-year-old actor has welcomed his fifth child into the world and he is "delighted" with the tiny tot, reported People magazine.
"I can confirm the arrival of Jude Law and Catherine Harding's daughter," Law's rep said in a statement.
"Both are delighted and continue to ask that their privacy and that of their child be respected," the rep added.
Law, who has three children with ex-wife Sadie Frost (sons Rafferty, 18, and Rudy, 12, and daughter Iris, 14) and another daughter, Sophia, 5, with model Samantha Burke, confirmed that he was expecting a fifth child (his first with the singer-songwriter) in October.