The source states that the operation is to replace a valve in his heart.
A representative of Jagger declined further comments on CNN.
"Mick has been advised by doctors that he can not go on tour at the moment because he needs medical attention," was a statement from the band. "We apologize for the inconvenience caused to those who have tickets, but would like to reassure fans to keep those existing tickets as they are valid for the newly scheduled dates, which will be announced shortly." [1
Bandmates Keith Richards and Ronnie Wood expressed their support in social media.
"A big disappointment for everyone, but things have to be done and we'll see each other soon, Mick, we're always there for you!" Richards wrote on Twitter.
The Rolling Stones, founded in 1962, were nominated for 12 Grammy Awards, where they won three. Their first international number one hit was "(I Can not Stop) Satisfaction" in 1965 and became the band's first gold plate.
Jagger released his first solo album in 1985, "She's the Boss. Four years later The Rolling Stones were inducted into the Rock and Roll Hall of Fame."