Halle Berry Gives Birth -- The Heat's On Gabriel Aubry, Olivier Martinez

Halle Berry gave birth to a baby boy Saturday ... and now the pressure is on all of the adults to make sure there are no more Thanksgiving Day bloodbaths.

Halle delivered the baby where many celebs do .. Cedars-Sinai Medical Center in L.A.

So here's the rub. The new baby daddy is Halle's new hubby, Olivier Martinez. But there's a second baby daddy in the pic -- Gabriel Aubry, father of 5-year-old Nahla.

Nahla spends most of her time with Halle and Olivier, but Gabriel is an involved, good parent -- with a temper. Olivier also has a temper, and deadly hands.

The baby and Nahla are going to bond, and it's going to be more difficult now for Nahla to "disappear" when she's with Gabriel.

The question -- are the adults going to behave.

Stay tuned.