The actress, who plays Carla Connor on the ITV1 soap, delivered the 6lbs 7oz baby today.
"No name has been decided on yet but mum and baby are doing well," said a show spokesperson.
"Everyone at Coronation Street send Alison and her partner Adam Huckett their best wishes on the birth of their daughter."
The 35-year-old has been dating sound technician Huckett since early 2007.
