The announcement comes days after the singer postponed five dates on the tour. She is now canceling the nine remaining shows.
The 23-year-old's sophomore album, "21," is the best-selling album of the year. It has sold close to two million units in America.
Her single, "Rolling In the Deep," is currently No. 1 on Billboard's Hot 100 charts.
The statement also said that rescheduling the tour dates was "being investigated."