Instead the guitarist and singer once saw his future in a classical or jazz group, and guitar wasn't even what he wanted to play.
"When I was younger, my dream was always to be in music, but I didn't have any dream to be a rock star," Bellamy tells The Sun. "I wanted to be in a classical band or a jazz band.
"So when I started, I wanted to learn jazz piano, or maybe the clainet."
But Bellamy settled on rock music because he thought he would give him the best chance of travelling the world with his friends, a suspicion which has proved to be completely true as Muse have travelled the world playing huge shows.
Muse drummer Dominic Howard recently said that the band have already begun discusing their next album, but said fans won't hear anything new for a few years still as they're too busy touring.
He might not have planned to be a rock star, but he's taken to the role well
The band were nominated for two BRIT Awards this year - Best Live Act and Best British Group - but missed out on both.
They did, however, put on an impressive performance of 'Supremecy' with a full orchestra and choir.
Below: How Muse made it cool: West Country to Olympics