Cory's rep gave this statement to People on Sunday night:
The actor "has voluntarily admitted himself to a treatment facility for substance addiction," his rep tells PEOPLE. "He graciously asks for your respect and privacy as he takes the necessary steps towards recovery."
Soon after, Lea Michele, his Glee costar and real-life girlfriend, said this about the situation:
I love and support Cory and will stand by him through this. I am grateful and proud he made this decision."
Update: Monteith's other Glee costar Chris Colfer tweeted this, which is possibly a reference to Cory: