The reality television star Kim Kardashian has given birth to a girl, her first child with the rapper Kanye West.

Magazines in the US have posted the story online, citing unnamed sources confirming the birth of the couple's daughter.

Kim is thought to have given birth on Saturday, earlier than her expected due date, in a hospital in Los Angeles.

Representatives for the couple have yet to make a comment on the news.

Kanye West and Kim Kardashian began dating last year, after she split from her husband, the basketball player Kris Humphries in 2011. Their marriage lasted 72 days.

I'm so excited we're having a girl. Who doesn't want a girl? They're the best and I know that's really what Kanye has always wanted. He wanted a little girl Kim Kardashian

Kanye West revealed that the couple were expecting their first child at a concert in December.

He told a crowd of more than 5,000 people in Atlantic City by singing: "Now you having my baby."

The pair revealed the gender of their baby earlier this month on Kim's E! reality show, Keeping Up With the Kardashians.

"I'm so excited we're having a girl," the 32-year-old said. "Who doesn't want a girl? They're the best and I know that's really what Kanye has always wanted. He wanted a little girl."

In addition to her reality television programme, Kim Kardashian has a clothing line and several product endorsements.

Kanye West is an award winning rapper. His upcoming album, Yeezus, was leaked online earlier this week, ahead of its official release later this month.

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