Stephanie Bongiovi was found unresponsive by an ambulance crew sent to Hamilton College early on Wednesday after a report that a female had apparently overdosed in Dunham Hall, the school's largest dorm.
Town of Kirkland police investigator Peter Cania said Bongiovi, of Red Bank, New Jersey, was recovering at a hospital he declined to name.
Officers sent to the dorm initially found a small amount of heroin and arrested Ian Grant, 21, also of Red Bank and a Hamilton student, according to police reports.
Investigators got a search warrant for the dorm and found heroin, marijuana and drug paraphernalia, leading to Bongiovi's arrest. Cania would not say whether the search involved her room.
Police didn't know whether Bongiovi or Grant have lawyers. Jon Bon Jovi's representative wasn't commenting on Wednesday.
Bongiovi and Grant were each charged with seventh-degree criminal possession of a controlled substance, a misdemeanor. Bongiovi was also charged with fourth-degree criminal possession of marijuana and criminally using drug paraphernalia, both misdemeanors, and unlawful possession of marijuana, a violation.
Both were issued tickets and ordered to appear in court at a later date.
Bon Jovi, 50, is scheduled to perform at a concert to benefit Hamilton's scholarships and arts programs in Times Square on December 5.
He has four children, Stephanie and three sons.