June 15, 2013 at 08:29 PM EDT

Baby girl Kimye has arrived!

Kim Kardashian gave birth to a daughter Saturday morning, sources confirm to People. The father is Kardashian’s boyfriend, rapper Kanye West.

It’s the first child for the couple, who have been dating since 2012.

Read more:

Kim Kardashian and Kate Middleton in ‘King Me’: The baby-switch epic that must be made!

Kim Kardashian and Kris Humphries are officially divorced

‘Keeping Up With the Kardashians’ season premiere recap: Kim and Kanye are having a baby!

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