The 31-year-old, who played Finn Hudson in the Fox TV hit, was found dead at the Pacific Rim Hotel in the city centre on Saturday, said police.
The cause of death was not immediately apparent, but police have ruled out foul play.
Cory Monteith, who had been in the musical comedy since its 2009 start, was treated for drug addiction in April, and had a history of substance-abuse.
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RIP Cory Monteith !