Kate and husband, Michael Heron, welcomed a baby girl, who they have named Clemency Florence Rose.
Kate's spokesperson announced the couple's happy news with the message:
"Michael and Kate Silverton-Heron are delighted to announce the birth of their baby daughter Clemency Florence Rose delivered naturally yesterday 5th November weighing 8lbs 9oz.
"Kate says: 'Clemency has big lips and big feet like her mummy'. Mother and baby are doing very very well.
"Mike and Kate would like to express their thanks to the NHS staff at Queen Charlotte's hospital in Hammersmith especially leading midwife Jenny Smith and Dr Gowri Motha for their help and support in ensuring Kate and Clemency had a natural and as gentle a birth as possible."
Kate has previously referred to her pregnancy as a miracle, after conceiving naturally following four failed rounds of IVF.
Huge congratulations Kate and Michael from everyone at Parentdish! Can't wait to see the pictures of the little lady.