"Meg White is suffering from acute anxiety and is unable to travel at this time," the duo said Tuesday in a posting on their Web site. "We hate to let people down and are very sorry."
Drummer White and singer-guitarist Jack White are touring to promote their latest album, "Icky Thump."
Shows set for this month in Albuquerque, N.M.; Austin, Texas; San Diego; Inglewood, Calif.; and Berkeley, Calif., have been canceled.
Ticket holders can get refunds at the point of purchase, the Web site said.