Blake Griffin -- Off the Hook ... In Vegas Pimp Slap Case

The pimp hand of justice just ruled in Blake Griffin's favor -- because officials have decided to DROP the battery case against the NBA star after they couldn't prove he actually slapped a guy in a Vegas nightclub.

TMZ Sports broke the story ... Griffin was charged with battery stemming from an incident at Tao nightclub on October 19th ... when he allegedly put the 5 fingers to some dude's face for snapping a pic without Blake's permission. The man also claimed Blake grabbed his neck and squeezed.

Blake denied the allegations -- and now we're told the charge has been formally dropped after Griffin's attorney Richard Schonfeld provided prosecutors with multiple witness statements contradicting the accuser's story.