Gabriel Aubry -- No Fighting, No Prosecution For Thanksgiving Brawl At Halle Berry's

Gabriel Aubry is in the clear in the Thanksgiving Day brawl at Halle Berry's house ... with one string attached.

TMZ has learned ... the L.A. City Attorney conducted two office hearings -- one where Halle and Gabriel's sparring partner Olivier Martinez showed up together and another where Gabriel showed up alone on a different day.

Sources tell TMZ ... the case has now been resolved and Gabriel will not be criminally prosecuted, PROVIDED he keeps his nose clean for a year.

TMZ previously reported ... anger management was on the table as a possible condition to avoid prosecution, but the City Attorney has a policy of neither confirming nor denying specifics.