Kim Kardashian Baby Name

TMZ has obtained North West's birth certificate ... and she doesn't have a middle name!

What do Kim Kardashian's new baby and the Space Needle have in common?

They're both NORTH WEST ... TMZ has learned.

Seriously, that's the kid's name ... according to the birth certificate from Cedars-Sinai hospital.

There were rumors floating around a few months ago that Kim and Kanye West might give the baby a directional name ... but who thought they would actually go through with it?

And when you look at the options -- West West is redundant ... South West is an airline ... and East West leads to nowhere.

So, by default ... North West it is!

Congratulations little girl.

Kim Kardashian has given birth to a baby girl ... TMZ has learned.

Source close to KK tell TMZ ... it was a NATURAL CHILD BIRTH. She started having contractions Friday night and went into full labor early Saturday AM.

Our sources tell us the baby and Kim are both in good health. We're told Kim delivered the baby at Cedars-Sinai Medical Center this morning ... 5 weeks early.

Our sources say BF Kanye West was there for the entire thing -- in the delivery room by Kim's side. We're told Kanye cancelled his appearance at his own record release party last night when Kim told him she was feeling "a little off."

It is the first child for Kim and Kanye.