The show is being sponsored by the performing arts center and Georgetown University. It will take place on January 19, which is Martin Luther King Day.
Since 2003, the program has featured Kennedy Center honorees and popular entertainers. Franklin was an honoree in 1994.
Tickets will be available at the concert hall on the day of the show.
The event will also include performances by violin duo Nuttin' But Stringz and Georgetown University's Let Freedom Ring Choir.