Halle Berry Will Rush to Court for Restraining Order Against Gabriel Aubry

Halle Berry is taking no chances ... she's going to court early this week for a restraining order against Gabriel Aubry after the blowout fight Thanksgiving day ... TMZ has learned.

Sources familiar with the situation tell TMZ Halle and her lawyers are alarmed that Gabriel allegedly started the fight with Olivier Martinez right in front of 4-year-old Nahla. Although a judge issued an emergency order of protection -- requiring Gabriel to stay 100 yards away from Halle, Nahla and Olivier -- that order expires Tuesday.

We're told Halle's lawyers will be in family court asking a judge to extend that protection for an indefinite period of time.

TMZ broke the story ... the bloody fight landed both Gabriel and Olivier in the same hospital ER. Gabriel was arrested and could be charged with criminal battery.

Sources tell us ... Halle's argument is pretty simple -- if Gabriel can't control himself enough to protect Nahla from emotional trauma, it's too risky for him to be around the child, Halle, or her fiance ... with whom he clearly has beef.