The musician, who fronted bands such as Soundgarden and Audioslave over almost three decades, is credited with shaping the grunge rock movement of the early 1990s.
Rocker Chris Cornell, who gained fame as the lead singer of the bands Soundgarden and later Audioslave, killed himself by hanging.
Cornell and his band Soundgarden have covered the song before and they did it again to close out the show at Detroit's Fox Theater on Wednesday.
Cornell had been touring with Soundgarden, and was tweeting upbeat messages about a sold-out concert the band played in Detroit just hours before his death.
His rock peers paid tribute, such as Led Zeppelin guitarist Jimmy Page, Mark Lanegan, Billy Idol and Jane's Addiction and Red Hot Chili Peppers guitarist Dave Navarro. His representative, Brian Bumbery, calls the passing "sudden and unexpected".
USA rock musician Mark Lanegan, a contemporary from the Seattle grunge era, wrote simply: "RIP Chris Cornell".More news: Yankees retire Derek Jeter's No. 2
Chris Cornell's work on Casino Royale is just the tip of the iceberg that was his career in rock. Their sixth studio album, King Animal, was released two years later.
3 YEARS AGO - See photos of Cornell with Soundgarden and Nine Inch Nails at DTE in 2014.
Cornell, 52, was born Christopher John Boyle on July 24, 1964, in Seattle. In 2001, he joined Audioslave, a supergroup that included former Rage Against the Machine members Tom Morello, Brad Wilk and Tim Commerford.
Cornell was known for a almost four-octave vocal range.
"He was a huge influence, one of the greatest singers ever to come out of Seattle, maybe the greatest single voice", said Charles R. Cross, a Seattle-based music journalist and author who knew Cornell personally.
In April, Cornell visited CBS This Morning and appeared to be in high spirits, and even teased a new Soundgarden album.
He is survived by his second wife, publicist Vicky Karayiannis, and by three children.