The singer refused to attend the 27th Annual event in Cleveland, Ohio, where his band Guns N' Roses were being inducted for their contribution to music.
Green Day frontman Billie Joe Armstrong presented former members Slash, Duff Mckagan, STEVEN ADLER and Matt Sorum with their accolade, and when he asked ''who was missing'' the 6,000 in attendance jeered and booed.
Armstrong added: ''Most singers are crazy, I can vouch for that. He is one of the best frontmen to ever touch a microphone. Sometimes you have to look back at chapters of your life to move forward.''
Rose - who has continued to tour under the Guns N' Roses name with a new line-up - is the first artist to publicly snub the Rock And Roll Hall Of Fame since the Sex Pistols refused to accept their induction in 2006.
There were two other noticeable absentees at this year's ceremony.
Rod Stewart - who was previously inducted as a solo performer - was due to be honoured along with members from the Faces/Small Faces, but couldn't go because he was sick with flu and was told to rest by doctors.
The Red Hot Chili Peppers closed the ceremony with three songs 'By the Way', 'The Adventures of Rain Dance Maggie' and 'Give It Away' on which drummer Chad Smith was joined by former sticksmen Cliff Martinez and Jack Irons.
Other artists inducted included Donovan and Laura Nyro.