Green Day won an award for Best Rock Album.
American Idiot . American Idiot was well received critically and won the Grammy Award for Best Rock Album in 2005 . Green Day . The band 's rock opera , American Idiot ( 2004 ) , reignited the band 's popularity with a younger generation , selling six million copies in the U.S. . The group has won five Grammy Awards : Best Alternative Album for Dookie , Best Rock Album for American Idiot , Record of the Year for `` Boulevard of Broken Dreams '' , Best Rock Album for the second time for 21st Century Breakdown and Best Musical Show Album for American Idiot : The Original Broadway Cast Recording .