Halle Berry's Baby Daddy Gabriel Aubry Spends Time with Nahla

Gabriel Aubry kept a tight grip on his daughter Nahla this AM, in the midst of his battle royale with baby mama Halle Berry.

We're told Gabriel left his house to take Nahla to her pre-school.

TMZ broke the story ... Halle is trying to temporarily strip Gabriel of all contact with Nahla while police investigate a criminal child endangerment complaint against him ... for allegedly pushing the nanny while she was holding the child. Gabriel is also being investigated for battery.