The BBC reported the gigs were scrapped because frontman Dave Gahan is undergoing tests after suffering gastroenteritis this week.
The group issued a statement apologizing to their fans for "this inconvenience."
"(We) wish Dave a speedy recovery," the BBC quoted the band as saying in the statement.
Depeche Mode recently released "Sounds of the Universe," their 12th full-length album.
Caroline Berg Eriksen: Soccer player's wife triggers debate with post-birth selfie
18-year-old elf alleges mall Santa pinched her buttocks on the job