The concerts were set for Monday and Aug. 12. Franklin also was to perform at an Aug. 11 birthday party for U.S. Rep. Charles Rangel, D-N.Y.
The concerts are being rescheduled for later this month.
In a statement released Tuesday, Franklin says she was "very much looking forward to being in Brooklyn and having a foot-long hot dog at Coney Island."
The Associated Press contributed to this report.