The King has personally chosen the music for the ceremony at Westminster Abbey on 6 May.
Lord Lloyd-Webber said he wanted his new coronation anthem to reflect a "joyful occasion".
A gospel choir will sing and there will be Greek Orthodox music in memory of the King's father, Prince Philip.
The music will have a traditional tone with pieces from classical composers such as William Byrd, George Handel and Sir Edward Elgar.
But there has been a coronation theme of combining the modern with the ancient - and new music has been commissioned.