EXCLUSIVE

Jon Bon Jovi's 19-year-old daughter Stephanie Rose Bongiovi was arrested at her college in Upstate New York early this morning after allegedly overdosing on heroin ... TMZ has learned.

According to the Town of Kirkland Police Department, cops responded to a dorm room at Hamilton College after someone reported that Stephanie had allegedly overdosed on heroin and was unresponsive.

Along with police, emergency medical personnel also responded to the scene and found Stephanie alive.

Cops say a drug task force searched the scene and found a "small quantity" of heroin ... along with marijuana and drug paraphernalia.

Stephanie was arrested for possession of a controlled substance, possession of marijuana and criminally using drug paraphernalia -- all misdemeanors.

Stephanie was eventually released from custody -- and ordered to appear in court at a later date.

Another student was also arrested -- a 21-year-old male -- who was also charged with drug possession.