The concert was set to open in Koln, Germany today.
The 40-year-old singer posted her statement on Instagram saying, she has been advised by a team of doctors to take rest "to avoid any greater damage that could keep me from performing".
"I'm devastated to have to miss our first show on November 8 in Koln... I love my German fans and was really looking forward to sharing my first show with you...
"I need to heed the advice of my doctors and recover so I can give you all everything I've got once I'm on the road and not risk any further injury," Shakira wrote.
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"The Live Nation team is working hard to find a new date for me to come back and share this exciting show with you which I feel is going to be my best one yet."
The singer's latest tour is in support of new album 'El Dorado', which released on May 26.
After Europe, Shakira will make stops in the United States at Miami, New York and Los Angeles and then wrapping the tour up in Latin America.