The 'Falling Down' group's founding member and guitarist announced the news in a statement on the band's official website.
He said: "It's with some sadness and great relief to tell you that I quit Oasis tonight. People will write and say what they like, but I simply could not go on working with Liam a day longer.
"Apologies to all the people who bought tickets for the shows in Paris, Konstanz and Milan."
The Manchester rockers were forced to cancel their second gig in a week at the Rock en Seine festival in Paris after "an altercation within the band".
Last weekend, Oasis pulled out of their headlining stint at the V Festival.