Green Day won an award for Best Rock Album.
21st Century Breakdown . It was awarded the Grammy Award for Best Rock Album at the 52nd Grammy Awards held on January 31 , 2010 . Green Day . The band 's eighth studio album , 21st Century Breakdown , was released in 2009 and achieved the band 's best chart performance to date . 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 .