Kim Kardashian and Kanye West's daughter is a ''miracle'' addition to their family.

The reality TV star's younger sister Khloe, 28, has finally confirmed the safe arrival of her new niece, who was born five weeks premature in Los Angeles on Saturday morning (15.06.13), and assured 'Keeping Up with the Kardashians' fans that more news about the baby, including her name which is rumoured to begin with the letter K, will be revealed soon.

Writing on Twitter on Sunday (16.06.13), Khloe said: ''I can not even begin 2 describe 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.''

The messages were retweeted by her mother Kris Jenner, who also wished the rapper well for his first Father's Day.

She wrote: ''HAPPY FATHERS DAY @kanyewest!!!!!!''

The family matriarch later posted a collage of photos, featuring Kanye, 36, her husband Bruce Jenner, her son-in-law Lamar Odom, her daughter Kourtney's boyfriend Scott Disick and her late ex-husband Robert Kardashian, with the caption: ''Well hello boys!!! Happy Fathers Day to the most wonderful men in the world!!! Thank you for being incredible Daddy's I love you @letthelordbewithyou @reallamarodom @kanyewest Bruce and Our beloved Robert!!!''

Kanye previously vowed to protect the privacy of his baby girl and is said to have urged Kim, 32, to take a step back from the limelight for the sake of their daughter.