The 38-year-old mother of four posted a screenshot of a text message she had sent to Kanye on Instagram.
The message read: “Beautiful Mother’s Day with the arrival of our fourth child we are blessed beyond measure we have everything we need.”
The words were accompanied by a picture of the newborn baby, with the caption simply reading “Psalm West”.
Psalm West was born on 9 May weighing 6 pounds and 9 ounces, according to a representative for Kim Kardashian.
Psalm is the youngest of the West children, following one-year-old Chicago West, 3-year-old Saint and 5-year-old North.
The newest addition to the family was born to a surrogate mother, but not the same woman who gave birth to Chicago, the couple's third child.
As with their other unusual baby names, the celebrity couple has been met with both criticism and praise for their choice on social media...
Others are being much more positive...
But there's another question being asked this time - how do you pronounce it?
And others have been asking the same question...
Seriously everyone is looking it up...
To settle any confusion, the 'P' in Psalm is traditionally silent, so it is said 'Saam'.
A psalm is a type of hymn used in Christian or Jewish worship, referring to the Book of Psalms in the Bible.
But, as with their other unique styles and tastes, perhaps the Kardashian-West family will decide it's said differently!
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies