Floyd Mayweather -- No Charges Filed in Alleged Choking Case

Floyd Mayweather was NOT charged with a crime after a 19-year-old close family friend filed a police report claiming the boxer put him in a chokehold during a 2014 argument.

The Las Vegas Metro Police tells TMZ Sports ... Devion Cromwell initially reported that Floyd put him in a "rear naked choke" at Mayweather's Vegas mansion on Halloween night.

FYI -- Cromwell is the son of Floyd's ex-girlfriend Melissa Brim ... who has a 14-year-old daughter with Floyd.

But when investigators tried to contact Cromwell to follow up on the case, cops say Cromwell stopped cooperating -- essentially stopping the investigation dead in its tracks.

Eventually, cops say ... they closed the case.

A rep for the Clark County District Attorney's office tells us the case was never presented to them for prosecution.

We're told the statute of limitations on the case is 1 year from the incident -- so, if Cromwell has a change of heart and wants to press the case ... the clock's ticking.