Smith will be promoting the Who Xmas special - 'The Snowmen' - which will air on Christmas Day.
Other guests on the seasonal edition of Norton's chatshow include Hollywood star Dustin Hoffman, comic Billy Connolly and Absolutely Fabulous creator Jennifer Saunders.
Amy MacDonald will be the musical guest.
Other guests still to come on the current series of the Norton show include Martin Freeman, Dawn French, Daniel Radcliffe, Jessica Ennis and Jake Gyllenhaal.
The festive Graham Norton special airs on Friday, December 21 at 10.35pm on BBC One.