Chris Brown: Cops Close Criminal Investigation On Female Accuser's Flimsy Claim

Chris Brown is in the clear ... he won't face criminal charges for allegedly punching a woman at a Vegas after-party.

We broke the story, Liziane Gutierrez filed a police report claiming Chris went off on her earlier this month at a Vegas hotel, punching her in the face.

But cops weren't convinced, not by a long shot. They shelved the case because her claim wasn't supported by enough evidence. Chris said from the get-go he never touched her and she's just pissed because his boys wouldn't let her into the after-party.

There was another sticking point. Liziane went off on Jason Derulo in August after she didn't make the cut at his after-party. She later claimed he tried to get the women who did attend do some nasty stuff ... again, all unsupported claims.

We've reached out to Gutierrez for comment ... so far, no word back.