The Audioslave singer had been nominated for 16 Grammy awards throughout his career and his 2019 win was his third in total.
The award was presented during the pre-show, non-televised ceremony during which most of the awards were handed out, and Cornell's children, Toni and Christopher Cornell, were there to accept the award on his behalf.
Chris, best known for his work with Soundgarden and Audioslave, died in May 2017.
"He was known for many things", he continued. "This is for you daddy, we love you so much". He was a rock icon, the godfather of grunge... Some 17,505 fans came from far and wide to celebrate his legacy.
The tribute concert was hosted by Jimmy Kimmel, with proceeds going towards The Chris and Vicky Cornell foundation.
When the singer's nomination was announced back in September, his wife tweeted from his account, "Chris would be so proud".
Soundgarden was founded by Cornell in 1984 with guitarist Kim Thayil, drummer Matt Cameron, and bassist Hiro Yamamoto. Again, we're so proud of him and it was wonderful.' Last month, the Cornell family were joined by many of Hollywood's stars as they held a memorial concert at the Forum.
You can find the full list of Grammy winners and nominees in the main categories here.