The concert will now take place on December 10 and all tickets for the original concert on November 26 will be valid, a statement said.
The injury happened last weekend and Page will not be able to play guitar for three weeks, a statement quoted a specialist as saying.
"We feel that this postponement will enable my injury to properly heal and permit us to perform at the level that both the band and our fans have always been accustomed to."
Led Zeppelin split in 1980 after the death of drummer John Bonham and last took the stage 12 years ago at their induction into the Rock and Roll Hall of Fame.
The concert venue takes up to 20,000 fans and many die-hard Zeppelin fans had organized trips from around the world to attend the concert this month.
Tickets were allocated by ballot and more than 1 million fans registered for a chance to see the legendary rock group.
Page will be joined by singer Robert Plant and bassist John Paul Jones, and Bonham's son Jason will be the drummer.
The show will be a tribute to the late founder of Atlantic Records, Ahmet Ertegun, who signed the group in 1968.
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