The three-day event in south west England, which is held annually in June, has become the world's biggest rock festival since its launch in 1971, attracting big name acts including Oasis, U2 and Beyonce.
U.K. DJ Nick Grimshaw recently dismissed Take That's chances of ever performing on Glastonbury's main stage, but Owen predicts they will eventually land the honour.
He tells Britain's The Independent, "(I have) enjoyed the festivities (at Glastonbury) many times... There's no question we could do it and play the songs. I wouldn't want to upset the Glastonbury fans because I am one. One day I expect we'd probably end up being on there."
This year (Jun13), the Rolling Stones, Mumford & Sons and Arctic Monkeys will headline Glastonbury's coveted Pyramid Stage.