Young's body was discovered Monday after he failed to show up for work as scheduled.
The 29-year-old actor's publicist confirmed he took his own life. TMZ said he died from a self-inflicted gunshot wound.
TheWrap reported production on "Rizzoli & Isles" was shut down indefinitely while the cast and crew deal with Young's death and its impact on the show.
"Rizzoli & Isles" stars Angie Harmon and Sasha Alexander. It was recently renewed for a fifth season.