According to law enforcement ... the Public Enemy co-founder was booked on a misdemeanor charge of domestic battery on Oct. 5 by the Henderson PD.

We're told cops responded to a call about a domestic disturbance and when they got there Flav was placed into custody and taken to the Henderson Detention Center.

According to the criminal complaint, obtained by TMZ, Flav allegedly poked his finger on the alleged victim's nose, grabbed her, threw her down and grabbed a phone out her hand.

The City Attorney tells us Flavor Flav is officially charged with misdemeanor battery constituting domestic violence.

Flav's attorney, David Chesnoff, tells TMZ ... "in alleged domestic violence cases, there are often 2 sides to the story and we will explain our side in the courtroom and not in the media."

We recently got Flav out at LAX, where he laid out his demands for Chuck D and what it would take for a Public Enemy reunion.