Mo Chara, who is actually named Liam O'Hanna, is charged with a terrorist offense after waving a Hizbollah flag and expressing support for Hamas at a gig in London last year – a crime he denies.
The trial has been postponed until September 26.
In a statement on social media, the band writes that due to the short time between the court hearing in London and the tour premiere in the USA, they are forced to cancel all 15 concerts in October.
"With sold-out gigs to tens of thousands of fans, this is news we are sorry to have to deliver", the band writes and adds:
"But when we win our court case, which we will do, we promise to go on an even bigger tour."
The US tour would have started in New York on October 1 and then continued with gigs in several major American cities.