Kim Kardashian West was in the delivery room when her daughter was born

Kanye was also in the room, but behind the curtain, and came out when the baby arrived, TMZ reports.

Kim and Kanye announced the happy news of the arrival of the "healthy, beautiful baby girl" on her own app.

She shared: "We are incredibly grateful to our surrogate who made our dreams come true with the greatest gift one could give and to our wonderful doctors and nurses for their special care. North and Saint are especially thrilled to welcome their baby sister."

And Kim had previously admitted that the surrogacy experience was even more stressful then having the baby herself.

She explained: "Anyone that says or thinks it is just the easy way out is just completely wrong. I think it is so much harder to go through it this way, because you are not really in control. And, you know, obviously you pick someone that you completely trust and that you have a good bond and relationship with, but ... knowing that I was able to carry my first two babies and not my baby now, it's hard for me. So it's definitely a harder experience than I anticipated in the control area."

The new arrival has been a "godsend" for Kim and Kanye after their tough year.

A source said: "This baby is a godsend to them. After their rough year, his problems and all their stuff, they needed this reset. They recognise that this pregnancy is a gift from God, and they’re just so grateful."