Cornell died of a suicide by hanging himself in his hotel Wednesday night.
"The cause of death has been determined as hanging by suicide", the official statement reads. The Associated Press reports that the police are investigating the death as a possible suicide.
The singer, whose life had appeared to take an upward turn over the past decade as he went sober, was found dead at the MGM Grand Detroit hotel after his family contacted first responders, police said.
If there was one Seattle band of the "grunge" era that seemed more "Seattle" than any other, it was Soundgarden.
Chris Cornell kicks out the jams in 2014. He and guitarist Kim Thayil, a University of Washington graduate, and Western Washington University alum turned bassist Hiro Yamamoto were roommates when they formed Soundgarden. He then joined Audioslave, which included former Rage Against the Machine members Tom Morello, Brad Wilk, and Tim Commerford.
Three years later, Soundgarden broke through on mainstream radio with the album Superunknown, which reached number one on the Billboard 200 in the U.S. and was nominated for a Grammy for Best Rock Record in 1995.
The group disbanded in 1997, two years after receiving Grammys - one for best hard rock performance for the single "Black Hole Sun" and another for best rock album for its Billboard chart-topping "Superunknown".More news: Police find toddler locked in cage, newborn alone in house
Page wrote: "RIP Chris Cornell". Incredibly Talented. Incredibly Young.
Rodgers described Cornell as "my special brother". "On the last tour that we were on together, he was sort of very quiet". An incredible songwriter, wonderful family man, friend to all, it's unreal.
Cornell also helped form the band Audioslave in 2001 and had a solo career.
With Audioslave, Cornell took a leftist political slant and the band in 2005 became the first USA rockers to play a major concert in Cuba. The seminal grunge band was in the middle of a lengthy tour, and working on material for its first new album in five years.
NPR's Rachel Martin talked to Cornell in 2015.
Cornell also became involved in philanthropy and started the Chris and Vicky Cornell Foundation to support children facing challenges, including homelessness, poverty, abuse and neglect.