The event, part of the National's Platform Series, is sold out, but day seats and cancellations may become available.
Dench received a Tony for Amy's View and an Oscar for "Shakespeare in Love." She holds seven Olivier Awards for her work on the London stage.
"And Furthermore" was published in the U.K. Oct. 14 and will be available in the U.S. Feb. 15, 2011.
For more information, visit nationaltheatre.org.