Kim and Kanye have called the new baby Psalm West.
The news comes after Kim announced the birth of the couple's fourth child on Sunday.
She took to Instagram this morning to share the first photo of baby Psalm.
Kim shared further details on the new arrival on the platform this week.
She wrote, 'We celebrated our baby boy about a week ago and now he’s here!'
'I was freaking out for nothing because he is the most calm and chill of all of my babies so far and everyone loves him so much.'
Kim and Kanye where both present for the hospital birth and are over the moon.