The singer, who sang the theme tune for the 2006 James Bond movie ‘Casino Royale’, is set to release his second solo album ’Carry On’ on April 30. But he will not be returning to work with the group.
In a statement he said: “Due to irresolvable personality conflicts as well as musical differences, I am permanently leaving the band Audioslave.
“I wish the other three members nothing but the best in all of their future endeavours.”
Other members of the band- guitarist Tom Morello, bassist Tim Commerford and drummer Brad Wilk – have reunited with singer Zack de la Rocha to resurrect their former band Rage Against The Machine.
They will play their first show in seven years at California’s Coachella Valley Music and Arts Festival on April 29.
Cornell said: “I certainly don’t have any animosity toward them, and I don’t think anyone hates me. And to be honest, I think those guys getting back together and doing some Rage shows in great.
“There were times in Audioslave where I wondered whether those guys missed the visceral nature of the audience response that Rage would get.”
Audioslave’s last album was 2006’s ’Revelations’ and it is believed the band will issue of greatest hits collection featuring some unreleased material on it at some point, reports MTV.