Adrian Peterson No Charges In Dom. Violence Case

Huge break for Adrian Peterson ... TMZ Sports has learned the future Hall of Famer will not face charges in his domestic violence case.

Sources with direct knowledge tell us ... Peterson was slated to have a City Attorney hearing in Los Angeles on April 29 -- but the former Minnesota Vikings running back and prosecutors met beforehand to resolve the matter.

We're told prosecutors declined to criminally charge Peterson ... and Adrian agreed to complete 20 sessions of domestic violence and alcohol counseling within the next 6 months.

It's a huge deal for A.P. -- because, as we previously reported, he could have been hit with misdemeanor charges for his alleged role in an altercation on a plane…