American reality television star Kim Kardashian has given birth to a baby girl at Cedars-Sinai Medical Center in West Hollywood, California on Saturday, E!, the channel which airs Keeping Up With The Kardashians, has confirmed.

Kardashian delivered her baby at Cedars-Sinai Hospital, the same place where her sister Kourtney Kardashian delivered her children. Other celebrities who gave birth to their children in the same hospital include Britney Spears, Victoria Beckham and Jessica Simpson.

The delivery took place around 1.30 am on Saturday and both mother and baby are healthy.

According to the entertainment network, the baby's father, rapper Kanye West, was by the side of the mother during the delivery.

Although there has been no confirmation from either Kardashian or any of her family members about the birth of the baby, messages congratulating the couple on the birth of their baby girl are already pouring in on Twitter from fellow celebrities.

American business magnate Russell Simmons: "There is no greater gift in life than a child's laughter! congrats to Kim And Kanye..."

Rapper Nas: "Congrats to Kanye 4 the birth of his daughter today too! To my bros w/ daughters!!"

Television personality Bethenny Frankel: "All kidding aside, congrats @kimkardashian on your baby girl. It's the most beautiful, best thing that could happen to you. Girls rule."

The report further quotes sources close to the couple as saying that the baby's name could begin with the letter K.

Another report by Us Weekly quoting an unidentified source says that the delivery took place five weeks earlier than expected.

"They're all doing great and amazing!" the source added.

A report in TMZ suggests that the 32-year-old began her contractions on Friday and had a natural birth the following day.

The couple, for whom this is a first child together, announced the pregnancy in December, during a concert in Atlantic City.

"Stop the music and make noise for my baby mama ... now you having my baby!" West had shouted out to the audience.

Although no picture of the baby or the mother has been released since the delivery, an exclusive E! report says that the child looks just like her mother.

"She has dark hair," the report quoted a source as saying. "She looks just like Kim," the source added.