The 45-year-old took the stage to remember the late singers and gave a heartfelt speech, reported Us weekly.
"They were close friends with one another. Chester even singing the cover of the classic 'Hallelujah' at Chris' funeral.
"Chester said of Chris, 'Your voice was joy and pain and anger and forgiveness, love and heartache, all wrapped up into one.' Just weeks later, Chester himself was gone," Leto said.
Both Cornell and Bennington died from suicide. Cornell passed away at the age of 52 following a sold out concert on May 17. Bennington died on July 20 at the age of 41.
"I think about his family, I think about his band, who were really his brothers. I think about his voice: at one ferocious and delicate. That voice will live forever."
Leto then urged people to share their "thoughts, do not give up, and, I promise you this: the absolute biggest breakthroughs in life lie just beyond the darkest days.