According to police documents ... the Las Vegas Metropolitan Police Department met with prosecutors late last month -- and after reviewing all of the evidence in the case, prosecutors felt they could not move forward with charges against the Dallas Cowboys superstar.

We reached out to Zeke's camp for a comment on the matter, but they declined.

As we previously reported ... 19-year-old Kyle Johnson, who was working as a security guard, was knocked over a metal railing during a parking lot dispute on May 19 at the Electric Daisy Carnival.

The Cowboys running back was placed in handcuffs after the shove -- but the 24-year-old was NOT arrested because Johnson told the cops he did not want to press charges.

But, after Zeke was not suspended by the NFL for the incident ... Johnson decided to file a police report.

Cops spent most of July gathering evidence in the case ... but according to the police docs, they decided they will not be moving forward with charges and will close the case.

It's big news for Elliott ... he now has one less thing he to worry about while his contract holdout with the Cowboys pushes forward.