The soul legend had been set to play two gigs in Brooklyn, at Wingate Park on August 9 and as part of the Annual Seaside Summer Concert Series on August 12.
As well as the two broken ribs the fall resulted in abdominal pain for the singer, reports the Detroit News.
Franklin said she was planning to reschedule the shows soon.
“I was very much looking forward to being in Brooklyn and having a foot-long hot dog at Coney Island,” she said. “Hopefully, I will get it before the end of August.”