No reason was given for the move, which was confirmed Thursday, CNN said.
Thirteen shows, including Saturday's concert in St. Paul, Minn., through a June 26 gig in New Orleans will go on as scheduled, the report said.
The band is on tour to support "A Different Kind of Truth," its first complete album recorded with original lead singer David Lee Roth since "1984" was released in 1983.
News of the cancellation has sparked concern from fans regarding the health of guitarist and founding member of the band, Eddie Van Halen, who has battled cancer and drug addiction in the past, CNN said.
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