Keeping Up With The Kardashians star Kim and her rapper boyfriend Kanye West became first-time parents on 15 June when Kim gave birth to a baby girl at a hospital in Los Angeles with Kanye by her side.
Reports had suggested Baby Kimye wasn't due until July.
Becoming the first member of the Kardashian family to publicly confirm the birth, Khloe tweeted: "I can not even begin 2describe the miracle that is now apart of our family. Mommy/baby are healthy &resting. We appreciate all of the love."
She added: "More info will come when the time is right! Thank you all for understanding! We love you all dearly! Overwhelmed with love right now."
We're guessing "more info" will include what we all want to know: Baby Kimye's name!
Kim's mum Kris Jenner also alluded to the birth on her own Twitter account, tweeting a Happy Father's Day message to Kanye West on Sunday.
Kanye is said to have skipped a record release party for his new album Yeezus in order to be by Kim's side during the delivery.
He said of parenthood in a recent interview with The New York Times: "One of the things was just to be protective, that I would do anything to protect my child or my child's mother. As simple as that."