The rockers will be headlining the shows in August, but when they last played the festivals they were upset after being pelted with bottles of wee while performing.
The band's frontman Gerard Way said to UK newspaper Daily Star: 'I always said if we ever do Reading and Leeds again we should be closing it.
'That's the only way we should play it, so it will feel good to do just that. If we get into the specifics of what happened before, it had very little to do with the band and the music.
'At that point it was a very different thing, maybe public perception.'