Mila Kunis & Ashton Kutcher -- Dude, Here's Our Baby!

Mila Kunis and Ashton Kutcher just wrapped up their newest production -- in diapers -- Mila has given birth to a baby girl ... TMZ has learned.

Sources close to Mila's womb tell us ... Mila delivered Tuesday night at Cedars-Sinai -- the hospital of choice for many celebrities.

We're told they arrived at the hospital Tuesday around 6 A.M. ... and were taken right to a delivery room.

They came by themselves -- no entourage, no family.

Sources tell us Mila delivered right on schedule ... and delivered right around the Jewish New Year.

Mazel Tov!