A DNA test has proved Jude Law is the father of model Samantha Burke's newborn baby, according to reports.

American model Burke gave birth to daughter Sophia last month after a brief love affair with the actor earlier this year while he was filming Sherlock Holmes in New York.

Britain's News of the World newspaper alleges lawyers are now planning a meeting between Law and his new baby after a paternity test confirmed his parenthood.

A source tells the publication, "She (Burke) never had any doubt about the results, but is obviously relieved. She knows some people were questioning her."

The 36 year old has previously vowed to financially support Burke in raising their child.