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Boxing superstar Adrien Broner will not be prosecuted for allegedly pulling a gun on a man and violently robbing him earlier this year ... TMZ Sports has confirmed.

We broke the story ... Broner was charged with felonious assault and aggravated robbery after allegedly getting into a fight over a bet at a Cincinnati bowling alley back in January.

A jury trial was scheduled to begin Wednesday, but according to a Hamilton County court clerk, the prosecutor's witness was a no-show ... so the judge dropped the charges.

Broner was present in court with his lawyer.

It seems like AB is completely off the hook in this case -- the alleged victim dropped his civil suit against him a few months ago.