At a press conference in the downtown park where his body was found, police said foul play was not suspected, but would not release a cause of death because the coroner is still investigating.
The actor's father, Walter Koenig, said his son "took his own life." Walter Koenig played Pavel Chekov on the original "Star Trek" TV series.
Friends found the body at around noon Thursday in a heavily wooded area about 100 feet from a popular foot path.
Koenig, 41, was visiting friends in Vancouver when he went missing more than a week ago.
The Venice, California, native had a recurring role on the 1980s sitcom as "Boner", a pal of star Kirk Cameron's character, "Mike".