The singer also declined the honor for himself.
In a letter to the hall, band fans and "To Whom It May Concern," Rose listed several reasons for not attending Saturday's ceremony in Cleveland, including a feeling that the hall does not respect him.
In declining his own induction he said, "I strongly request that I not be inducted in absentia and please know that no one is authorized nor may anyone be permitted to accept any induction for me or speak on my behalf."
However, the hall said in a statement that it still plans to induct Rose with the rest of the group and regrets that the singer will not be able to accept his induction in person.
According to the rock hall, only the Sex Pistols have declined induction before.
Though Rose now fronts a reconstituted version of Guns N' Roses that does not include former members Slash, Izzy Stradlin, Duff McKagan or Steven Adler, some held out hope that the band might reunite at the hall.
Rose says he has no intention of reuniting with his former band mates.
Besides Guns N' Roses, other inductees will include the Beastie Boys, the Red Hot Chili Peppers, the late singer/songwriter Laura Nyro, Donovan, and The Small Faces/The Faces, which included Rod Stewart and Rolling Stones guitarist Ronnie Wood.
The Associated Press contributed to this report.