Mila Kunis and Ashton Kutcher are the proud parents of a baby girl, it has been reported.

The 31-year-old actress delivered a daughter on September 30 at Cedars-Sinai medical centre in Los Angeles, TMZ.com reported.

The couple apparently arrived at the hospital at around 6am on their own.

A source told People: "She's here and healthy."

Mila told Ellen DeGeneres earlier this year she was determined to have a natural birth, and didn't even want to have an epidural.

She said: "I'm going to do it as all natural as I possibly can unless there's an emergency or something that should go wrong. I did this to myself, I might as well just do it right. I wanted this!"

Mila and Ashton, 36, first met when they were co-stars on That '70s Show from 1998 to 2006 and confirmed their engagement in February.